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Finding the Third Proportional to 242,685,408 and 524,156,986

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Solution

The third proportional to 242,685,408 and 524,156,986 is: 1,132,085,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,685,408 : 524,156,986 = 524,156,986 : x
  2. Step 2: Convert to fraction form
    242,685,408/524,156,986 = 524,156,986/x
  3. Step 3: Cross multiply
    242,685,408x = 524,156,986 × 524,156,986
  4. Step 4: Simplify right side
    242,685,408x = 274,740,545,972,604,192
  5. Step 5: Solve for x
    x = 274,740,545,972,604,192/242,685,408
  6. Step 6: Final answer
    x = 1,132,085,147.75

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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.