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Finding the Third Proportional to 811,063,584 and 1,665,124,057.13

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Solution

The third proportional to 811,063,584 and 1,665,124,057.13 is: 3,418,521,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,063,584 : 1,665,124,057.13 = 1,665,124,057.13 : x
  2. Step 2: Convert to fraction form
    811,063,584/1,665,124,057.13 = 1,665,124,057.13/x
  3. Step 3: Cross multiply
    811,063,584x = 1,665,124,057.13 × 1,665,124,057.13
  4. Step 4: Simplify right side
    811,063,584x = 2,772,638,125,616,420,352
  5. Step 5: Solve for x
    x = 2,772,638,125,616,420,352/811,063,584
  6. Step 6: Final answer
    x = 3,418,521,285.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.