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Finding the Third Proportional to 949,523,772 and 2,024,466,648

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Solution

The third proportional to 949,523,772 and 2,024,466,648 is: 4,316,337,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,523,772 : 2,024,466,648 = 2,024,466,648 : x
  2. Step 2: Convert to fraction form
    949,523,772/2,024,466,648 = 2,024,466,648/x
  3. Step 3: Cross multiply
    949,523,772x = 2,024,466,648 × 2,024,466,648
  4. Step 4: Simplify right side
    949,523,772x = 4,098,465,208,864,355,840
  5. Step 5: Solve for x
    x = 4,098,465,208,864,355,840/949,523,772
  6. Step 6: Final answer
    x = 4,316,337,652.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.