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Finding the Third Proportional to 57,765,216 and 126,868,488

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Solution

The third proportional to 57,765,216 and 126,868,488 is: 278,638,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765,216 : 126,868,488 = 126,868,488 : x
  2. Step 2: Convert to fraction form
    57,765,216/126,868,488 = 126,868,488/x
  3. Step 3: Cross multiply
    57,765,216x = 126,868,488 × 126,868,488
  4. Step 4: Simplify right side
    57,765,216x = 16,095,613,247,406,144
  5. Step 5: Solve for x
    x = 16,095,613,247,406,144/57,765,216
  6. Step 6: Final answer
    x = 278,638,501.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.