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Finding the Third Proportional to 973,398,463,444.58 and 1,430,938,922,392.80

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Solution

The third proportional to 973,398,463,444.58 and 1,430,938,922,392.80 is: 2,103,543,694,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,398,463,444.58 : 1,430,938,922,392.80 = 1,430,938,922,392.80 : x
  2. Step 2: Convert to fraction form
    973,398,463,444.58/1,430,938,922,392.80 = 1,430,938,922,392.80/x
  3. Step 3: Cross multiply
    973,398,463,444.58x = 1,430,938,922,392.80 × 1,430,938,922,392.80
  4. Step 4: Simplify right side
    973,398,463,444.58x = 2,047,586,199,618,667,715,493,888
  5. Step 5: Solve for x
    x = 2,047,586,199,618,667,715,493,888/973,398,463,444.58
  6. Step 6: Final answer
    x = 2,103,543,694,093.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.