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Finding the Third Proportional to 1,338,227,248.50 and 2,898,866,224.50

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Solution

The third proportional to 1,338,227,248.50 and 2,898,866,224.50 is: 6,279,520,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,227,248.50 : 2,898,866,224.50 = 2,898,866,224.50 : x
  2. Step 2: Convert to fraction form
    1,338,227,248.50/2,898,866,224.50 = 2,898,866,224.50/x
  3. Step 3: Cross multiply
    1,338,227,248.50x = 2,898,866,224.50 × 2,898,866,224.50
  4. Step 4: Simplify right side
    1,338,227,248.50x = 8,403,425,387,546,884,096
  5. Step 5: Solve for x
    x = 8,403,425,387,546,884,096/1,338,227,248.50
  6. Step 6: Final answer
    x = 6,279,520,460.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.