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Finding the Third Proportional to 985,140,369 and 2,141,754,678

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Solution

The third proportional to 985,140,369 and 2,141,754,678 is: 4,656,304,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,140,369 : 2,141,754,678 = 2,141,754,678 : x
  2. Step 2: Convert to fraction form
    985,140,369/2,141,754,678 = 2,141,754,678/x
  3. Step 3: Cross multiply
    985,140,369x = 2,141,754,678 × 2,141,754,678
  4. Step 4: Simplify right side
    985,140,369x = 4,587,113,100,734,883,840
  5. Step 5: Solve for x
    x = 4,587,113,100,734,883,840/985,140,369
  6. Step 6: Final answer
    x = 4,656,304,060.90

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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.