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Finding the Third Proportional to 71,733,648 and 148,571,514

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Solution

The third proportional to 71,733,648 and 148,571,514 is: 307,714,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,733,648 : 148,571,514 = 148,571,514 : x
  2. Step 2: Convert to fraction form
    71,733,648/148,571,514 = 148,571,514/x
  3. Step 3: Cross multiply
    71,733,648x = 148,571,514 × 148,571,514
  4. Step 4: Simplify right side
    71,733,648x = 22,073,494,772,252,196
  5. Step 5: Solve for x
    x = 22,073,494,772,252,196/71,733,648
  6. Step 6: Final answer
    x = 307,714,655.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.