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Finding the Third Proportional to 1,362,403,456 and 2,982,732,656

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Solution

The third proportional to 1,362,403,456 and 2,982,732,656 is: 6,530,146,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,403,456 : 2,982,732,656 = 2,982,732,656 : x
  2. Step 2: Convert to fraction form
    1,362,403,456/2,982,732,656 = 2,982,732,656/x
  3. Step 3: Cross multiply
    1,362,403,456x = 2,982,732,656 × 2,982,732,656
  4. Step 4: Simplify right side
    1,362,403,456x = 8,896,694,097,168,814,080
  5. Step 5: Solve for x
    x = 8,896,694,097,168,814,080/1,362,403,456
  6. Step 6: Final answer
    x = 6,530,146,454.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.