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Finding the Third Proportional to 508,868,810 and 1,107,845,567

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Solution

The third proportional to 508,868,810 and 1,107,845,567 is: 2,411,862,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,868,810 : 1,107,845,567 = 1,107,845,567 : x
  2. Step 2: Convert to fraction form
    508,868,810/1,107,845,567 = 1,107,845,567/x
  3. Step 3: Cross multiply
    508,868,810x = 1,107,845,567 × 1,107,845,567
  4. Step 4: Simplify right side
    508,868,810x = 1,227,321,800,321,551,616
  5. Step 5: Solve for x
    x = 1,227,321,800,321,551,616/508,868,810
  6. Step 6: Final answer
    x = 2,411,862,893.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.