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Finding the Third Proportional to 247,345,060 and 537,310,376

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Solution

The third proportional to 247,345,060 and 537,310,376 is: 1,167,205,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,345,060 : 537,310,376 = 537,310,376 : x
  2. Step 2: Convert to fraction form
    247,345,060/537,310,376 = 537,310,376/x
  3. Step 3: Cross multiply
    247,345,060x = 537,310,376 × 537,310,376
  4. Step 4: Simplify right side
    247,345,060x = 288,702,440,157,261,376
  5. Step 5: Solve for x
    x = 288,702,440,157,261,376/247,345,060
  6. Step 6: Final answer
    x = 1,167,205,199.72

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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.