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Finding the Third Proportional to 1,948,732,036 and 4,598,658,586

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Solution

The third proportional to 1,948,732,036 and 4,598,658,586 is: 10,852,010,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,732,036 : 4,598,658,586 = 4,598,658,586 : x
  2. Step 2: Convert to fraction form
    1,948,732,036/4,598,658,586 = 4,598,658,586/x
  3. Step 3: Cross multiply
    1,948,732,036x = 4,598,658,586 × 4,598,658,586
  4. Step 4: Simplify right side
    1,948,732,036x = 21,147,660,790,591,520,768
  5. Step 5: Solve for x
    x = 21,147,660,790,591,520,768/1,948,732,036
  6. Step 6: Final answer
    x = 10,852,010,640.72

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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.