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Finding the Third Proportional to 1,026,762,246 and 2,241,676,530

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Solution

The third proportional to 1,026,762,246 and 2,241,676,530 is: 4,894,135,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,762,246 : 2,241,676,530 = 2,241,676,530 : x
  2. Step 2: Convert to fraction form
    1,026,762,246/2,241,676,530 = 2,241,676,530/x
  3. Step 3: Cross multiply
    1,026,762,246x = 2,241,676,530 × 2,241,676,530
  4. Step 4: Simplify right side
    1,026,762,246x = 5,025,113,665,152,840,704
  5. Step 5: Solve for x
    x = 5,025,113,665,152,840,704/1,026,762,246
  6. Step 6: Final answer
    x = 4,894,135,604.16

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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.