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Finding the Third Proportional to 1,948,732,872 and 4,598,660,808

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Solution

The third proportional to 1,948,732,872 and 4,598,660,808 is: 10,852,016,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,732,872 : 4,598,660,808 = 4,598,660,808 : x
  2. Step 2: Convert to fraction form
    1,948,732,872/4,598,660,808 = 4,598,660,808/x
  3. Step 3: Cross multiply
    1,948,732,872x = 4,598,660,808 × 4,598,660,808
  4. Step 4: Simplify right side
    1,948,732,872x = 21,147,681,227,035,213,824
  5. Step 5: Solve for x
    x = 21,147,681,227,035,213,824/1,948,732,872
  6. Step 6: Final answer
    x = 10,852,016,472.29

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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.