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Finding the Third Proportional to 641,754,725 and 1,406,538,042

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Solution

The third proportional to 641,754,725 and 1,406,538,042 is: 3,082,718,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,754,725 : 1,406,538,042 = 1,406,538,042 : x
  2. Step 2: Convert to fraction form
    641,754,725/1,406,538,042 = 1,406,538,042/x
  3. Step 3: Cross multiply
    641,754,725x = 1,406,538,042 × 1,406,538,042
  4. Step 4: Simplify right side
    641,754,725x = 1,978,349,263,593,193,728
  5. Step 5: Solve for x
    x = 1,978,349,263,593,193,728/641,754,725
  6. Step 6: Final answer
    x = 3,082,718,656.40

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Why These Related Problems?

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