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Finding the Third Proportional to 58,165,240 and 126,024,128

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Solution

The third proportional to 58,165,240 and 126,024,128 is: 273,051,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,165,240 : 126,024,128 = 126,024,128 : x
  2. Step 2: Convert to fraction form
    58,165,240/126,024,128 = 126,024,128/x
  3. Step 3: Cross multiply
    58,165,240x = 126,024,128 × 126,024,128
  4. Step 4: Simplify right side
    58,165,240x = 15,882,080,838,160,384
  5. Step 5: Solve for x
    x = 15,882,080,838,160,384/58,165,240
  6. Step 6: Final answer
    x = 273,051,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.