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Finding the Third Proportional to 57,768,224 and 125,495,488

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Solution

The third proportional to 57,768,224 and 125,495,488 is: 272,625,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,768,224 : 125,495,488 = 125,495,488 : x
  2. Step 2: Convert to fraction form
    57,768,224/125,495,488 = 125,495,488/x
  3. Step 3: Cross multiply
    57,768,224x = 125,495,488 × 125,495,488
  4. Step 4: Simplify right side
    57,768,224x = 15,749,117,508,358,144
  5. Step 5: Solve for x
    x = 15,749,117,508,358,144/57,768,224
  6. Step 6: Final answer
    x = 272,625,959.70

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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.