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Finding the Third Proportional to 747,667,878 and 1,636,281,804

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Solution

The third proportional to 747,667,878 and 1,636,281,804 is: 3,581,026,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,667,878 : 1,636,281,804 = 1,636,281,804 : x
  2. Step 2: Convert to fraction form
    747,667,878/1,636,281,804 = 1,636,281,804/x
  3. Step 3: Cross multiply
    747,667,878x = 1,636,281,804 × 1,636,281,804
  4. Step 4: Simplify right side
    747,667,878x = 2,677,418,142,101,494,272
  5. Step 5: Solve for x
    x = 2,677,418,142,101,494,272/747,667,878
  6. Step 6: Final answer
    x = 3,581,026,042.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.