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Finding the Third Proportional to 973,398,463,476.50 and 1,430,938,922,432

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Solution

The third proportional to 973,398,463,476.50 and 1,430,938,922,432 is: 2,103,543,694,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,398,463,476.50 : 1,430,938,922,432 = 1,430,938,922,432 : x
  2. Step 2: Convert to fraction form
    973,398,463,476.50/1,430,938,922,432 = 1,430,938,922,432/x
  3. Step 3: Cross multiply
    973,398,463,476.50x = 1,430,938,922,432 × 1,430,938,922,432
  4. Step 4: Simplify right side
    973,398,463,476.50x = 2,047,586,199,730,853,335,007,232
  5. Step 5: Solve for x
    x = 2,047,586,199,730,853,335,007,232/973,398,463,476.50
  6. Step 6: Final answer
    x = 2,103,543,694,139.28

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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.