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Finding the Third Proportional to 2,403,248,123,908 and 5,155,366,980,997

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Solution

The third proportional to 2,403,248,123,908 and 5,155,366,980,997 is: 11,059,119,715,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403,248,123,908 : 5,155,366,980,997 = 5,155,366,980,997 : x
  2. Step 2: Convert to fraction form
    2,403,248,123,908/5,155,366,980,997 = 5,155,366,980,997/x
  3. Step 3: Cross multiply
    2,403,248,123,908x = 5,155,366,980,997 × 5,155,366,980,997
  4. Step 4: Simplify right side
    2,403,248,123,908x = 26,577,808,708,754,122,551,066,624
  5. Step 5: Solve for x
    x = 26,577,808,708,754,122,551,066,624/2,403,248,123,908
  6. Step 6: Final answer
    x = 11,059,119,715,668.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.