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Finding the Third Proportional to 878,120,114 and 1,734,031,970

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Solution

The third proportional to 878,120,114 and 1,734,031,970 is: 3,424,209,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,120,114 : 1,734,031,970 = 1,734,031,970 : x
  2. Step 2: Convert to fraction form
    878,120,114/1,734,031,970 = 1,734,031,970/x
  3. Step 3: Cross multiply
    878,120,114x = 1,734,031,970 × 1,734,031,970
  4. Step 4: Simplify right side
    878,120,114x = 3,006,866,872,982,081,024
  5. Step 5: Solve for x
    x = 3,006,866,872,982,081,024/878,120,114
  6. Step 6: Final answer
    x = 3,424,209,086.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.