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Finding the Third Proportional to 402,619,028,245 and 625,142,796,659

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Solution

The third proportional to 402,619,028,245 and 625,142,796,659 is: 970,653,369,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,619,028,245 : 625,142,796,659 = 625,142,796,659 : x
  2. Step 2: Convert to fraction form
    402,619,028,245/625,142,796,659 = 625,142,796,659/x
  3. Step 3: Cross multiply
    402,619,028,245x = 625,142,796,659 × 625,142,796,659
  4. Step 4: Simplify right side
    402,619,028,245x = 390,803,516,214,635,848,007,680
  5. Step 5: Solve for x
    x = 390,803,516,214,635,848,007,680/402,619,028,245
  6. Step 6: Final answer
    x = 970,653,369,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.