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Finding the Third Proportional to 370,159,227 and 812,948,815.13

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Solution

The third proportional to 370,159,227 and 812,948,815.13 is: 1,785,409,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,159,227 : 812,948,815.13 = 812,948,815.13 : x
  2. Step 2: Convert to fraction form
    370,159,227/812,948,815.13 = 812,948,815.13/x
  3. Step 3: Cross multiply
    370,159,227x = 812,948,815.13 × 812,948,815.13
  4. Step 4: Simplify right side
    370,159,227x = 660,885,776,013,141,376
  5. Step 5: Solve for x
    x = 660,885,776,013,141,376/370,159,227
  6. Step 6: Final answer
    x = 1,785,409,434.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.