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Finding the Third Proportional to 451,131,428.81 and 717,838,615.13

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Solution

The third proportional to 451,131,428.81 and 717,838,615.13 is: 1,142,222,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,131,428.81 : 717,838,615.13 = 717,838,615.13 : x
  2. Step 2: Convert to fraction form
    451,131,428.81/717,838,615.13 = 717,838,615.13/x
  3. Step 3: Cross multiply
    451,131,428.81x = 717,838,615.13 × 717,838,615.13
  4. Step 4: Simplify right side
    451,131,428.81x = 515,292,277,364,577,856
  5. Step 5: Solve for x
    x = 515,292,277,364,577,856/451,131,428.81
  6. Step 6: Final answer
    x = 1,142,222,076.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.