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Finding the Third Proportional to 1,460,132,226 and 2,226,974,949

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Solution

The third proportional to 1,460,132,226 and 2,226,974,949 is: 3,396,553,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,132,226 : 2,226,974,949 = 2,226,974,949 : x
  2. Step 2: Convert to fraction form
    1,460,132,226/2,226,974,949 = 2,226,974,949/x
  3. Step 3: Cross multiply
    1,460,132,226x = 2,226,974,949 × 2,226,974,949
  4. Step 4: Simplify right side
    1,460,132,226x = 4,959,417,423,473,552,384
  5. Step 5: Solve for x
    x = 4,959,417,423,473,552,384/1,460,132,226
  6. Step 6: Final answer
    x = 3,396,553,637.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.