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Finding the Third Proportional to 227,957,490 and 497,721,631.50

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Solution

The third proportional to 227,957,490 and 497,721,631.50 is: 1,086,723,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,957,490 : 497,721,631.50 = 497,721,631.50 : x
  2. Step 2: Convert to fraction form
    227,957,490/497,721,631.50 = 497,721,631.50/x
  3. Step 3: Cross multiply
    227,957,490x = 497,721,631.50 × 497,721,631.50
  4. Step 4: Simplify right side
    227,957,490x = 247,726,822,463,021,792
  5. Step 5: Solve for x
    x = 247,726,822,463,021,792/227,957,490
  6. Step 6: Final answer
    x = 1,086,723,767.94

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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.