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Finding the Third Proportional to 864,350,502.19 and 1,859,795,650.13

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Solution

The third proportional to 864,350,502.19 and 1,859,795,650.13 is: 4,001,663,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,350,502.19 : 1,859,795,650.13 = 1,859,795,650.13 : x
  2. Step 2: Convert to fraction form
    864,350,502.19/1,859,795,650.13 = 1,859,795,650.13/x
  3. Step 3: Cross multiply
    864,350,502.19x = 1,859,795,650.13 × 1,859,795,650.13
  4. Step 4: Simplify right side
    864,350,502.19x = 3,458,839,860,223,871,488
  5. Step 5: Solve for x
    x = 3,458,839,860,223,871,488/864,350,502.19
  6. Step 6: Final answer
    x = 4,001,663,505.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.