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Finding the Third Proportional to 1,146,034,281 and 2,455,456,902

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Solution

The third proportional to 1,146,034,281 and 2,455,456,902 is: 5,260,984,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,034,281 : 2,455,456,902 = 2,455,456,902 : x
  2. Step 2: Convert to fraction form
    1,146,034,281/2,455,456,902 = 2,455,456,902/x
  3. Step 3: Cross multiply
    1,146,034,281x = 2,455,456,902 × 2,455,456,902
  4. Step 4: Simplify right side
    1,146,034,281x = 6,029,268,597,579,438,080
  5. Step 5: Solve for x
    x = 6,029,268,597,579,438,080/1,146,034,281
  6. Step 6: Final answer
    x = 5,260,984,507.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.