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Finding the Third Proportional to 973,398,463,474.50 and 1,430,938,922,429.20

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Solution

The third proportional to 973,398,463,474.50 and 1,430,938,922,429.20 is: 2,103,543,694,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,398,463,474.50 : 1,430,938,922,429.20 = 1,430,938,922,429.20 : x
  2. Step 2: Convert to fraction form
    973,398,463,474.50/1,430,938,922,429.20 = 1,430,938,922,429.20/x
  3. Step 3: Cross multiply
    973,398,463,474.50x = 1,430,938,922,429.20 × 1,430,938,922,429.20
  4. Step 4: Simplify right side
    973,398,463,474.50x = 2,047,586,199,722,839,999,774,720
  5. Step 5: Solve for x
    x = 2,047,586,199,722,839,999,774,720/973,398,463,474.50
  6. Step 6: Final answer
    x = 2,103,543,694,135.37

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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.