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Finding the Third Proportional to 1,354,006,989 and 2,948,390,121

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Solution

The third proportional to 1,354,006,989 and 2,948,390,121 is: 6,420,206,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,006,989 : 2,948,390,121 = 2,948,390,121 : x
  2. Step 2: Convert to fraction form
    1,354,006,989/2,948,390,121 = 2,948,390,121/x
  3. Step 3: Cross multiply
    1,354,006,989x = 2,948,390,121 × 2,948,390,121
  4. Step 4: Simplify right side
    1,354,006,989x = 8,693,004,305,610,394,624
  5. Step 5: Solve for x
    x = 8,693,004,305,610,394,624/1,354,006,989
  6. Step 6: Final answer
    x = 6,420,206,377.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.