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Finding the Third Proportional to 1,003,654,068 and 2,174,084,382

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Solution

The third proportional to 1,003,654,068 and 2,174,084,382 is: 4,709,434,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,654,068 : 2,174,084,382 = 2,174,084,382 : x
  2. Step 2: Convert to fraction form
    1,003,654,068/2,174,084,382 = 2,174,084,382/x
  3. Step 3: Cross multiply
    1,003,654,068x = 2,174,084,382 × 2,174,084,382
  4. Step 4: Simplify right side
    1,003,654,068x = 4,726,642,900,056,322,048
  5. Step 5: Solve for x
    x = 4,726,642,900,056,322,048/1,003,654,068
  6. Step 6: Final answer
    x = 4,709,434,306.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.