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Finding the Third Proportional to 242,908,960 and 524,523,823

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Solution

The third proportional to 242,908,960 and 524,523,823 is: 1,132,626,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,960 : 524,523,823 = 524,523,823 : x
  2. Step 2: Convert to fraction form
    242,908,960/524,523,823 = 524,523,823/x
  3. Step 3: Cross multiply
    242,908,960x = 524,523,823 × 524,523,823
  4. Step 4: Simplify right side
    242,908,960x = 275,125,240,894,535,328
  5. Step 5: Solve for x
    x = 275,125,240,894,535,328/242,908,960
  6. Step 6: Final answer
    x = 1,132,626,976.36

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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.