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Finding the Third Proportional to 1,059,417,916 and 2,280,747,102

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Solution

The third proportional to 1,059,417,916 and 2,280,747,102 is: 4,910,061,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,417,916 : 2,280,747,102 = 2,280,747,102 : x
  2. Step 2: Convert to fraction form
    1,059,417,916/2,280,747,102 = 2,280,747,102/x
  3. Step 3: Cross multiply
    1,059,417,916x = 2,280,747,102 × 2,280,747,102
  4. Step 4: Simplify right side
    1,059,417,916x = 5,201,807,343,281,398,784
  5. Step 5: Solve for x
    x = 5,201,807,343,281,398,784/1,059,417,916
  6. Step 6: Final answer
    x = 4,910,061,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.