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Finding the Third Proportional to 641,754,737 and 1,406,538,066

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Solution

The third proportional to 641,754,737 and 1,406,538,066 is: 3,082,718,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,754,737 : 1,406,538,066 = 1,406,538,066 : x
  2. Step 2: Convert to fraction form
    641,754,737/1,406,538,066 = 1,406,538,066/x
  3. Step 3: Cross multiply
    641,754,737x = 1,406,538,066 × 1,406,538,066
  4. Step 4: Simplify right side
    641,754,737x = 1,978,349,331,107,020,288
  5. Step 5: Solve for x
    x = 1,978,349,331,107,020,288/641,754,737
  6. Step 6: Final answer
    x = 3,082,718,703.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.