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Finding the Third Proportional to 655,643,463.75 and 1,008,788,411.25

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Solution

The third proportional to 655,643,463.75 and 1,008,788,411.25 is: 1,552,145,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,643,463.75 : 1,008,788,411.25 = 1,008,788,411.25 : x
  2. Step 2: Convert to fraction form
    655,643,463.75/1,008,788,411.25 = 1,008,788,411.25/x
  3. Step 3: Cross multiply
    655,643,463.75x = 1,008,788,411.25 × 1,008,788,411.25
  4. Step 4: Simplify right side
    655,643,463.75x = 1,017,654,058,672,299,136
  5. Step 5: Solve for x
    x = 1,017,654,058,672,299,136/655,643,463.75
  6. Step 6: Final answer
    x = 1,552,145,510.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.