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Finding the Third Proportional to 72,568,752 and 156,681,614

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Solution

The third proportional to 72,568,752 and 156,681,614 is: 338,287,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,568,752 : 156,681,614 = 156,681,614 : x
  2. Step 2: Convert to fraction form
    72,568,752/156,681,614 = 156,681,614/x
  3. Step 3: Cross multiply
    72,568,752x = 156,681,614 × 156,681,614
  4. Step 4: Simplify right side
    72,568,752x = 24,549,128,165,644,996
  5. Step 5: Solve for x
    x = 24,549,128,165,644,996/72,568,752
  6. Step 6: Final answer
    x = 338,287,864.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.