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Finding the Third Proportional to 243,655,580 and 531,960,495

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Solution

The third proportional to 243,655,580 and 531,960,495 is: 1,161,401,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,655,580 : 531,960,495 = 531,960,495 : x
  2. Step 2: Convert to fraction form
    243,655,580/531,960,495 = 531,960,495/x
  3. Step 3: Cross multiply
    243,655,580x = 531,960,495 × 531,960,495
  4. Step 4: Simplify right side
    243,655,580x = 282,981,968,240,645,024
  5. Step 5: Solve for x
    x = 282,981,968,240,645,024/243,655,580
  6. Step 6: Final answer
    x = 1,161,401,549.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.