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Finding the Third Proportional to 227,955,924 and 537,583,446

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Solution

The third proportional to 227,955,924 and 537,583,446 is: 1,267,771,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,955,924 : 537,583,446 = 537,583,446 : x
  2. Step 2: Convert to fraction form
    227,955,924/537,583,446 = 537,583,446/x
  3. Step 3: Cross multiply
    227,955,924x = 537,583,446 × 537,583,446
  4. Step 4: Simplify right side
    227,955,924x = 288,995,961,413,234,944
  5. Step 5: Solve for x
    x = 288,995,961,413,234,944/227,955,924
  6. Step 6: Final answer
    x = 1,267,771,226.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.