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Finding the Third Proportional to 1,140,586,957,713 and 2,417,158,507,068

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Solution

The third proportional to 1,140,586,957,713 and 2,417,158,507,068 is: 5,122,498,735,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,586,957,713 : 2,417,158,507,068 = 2,417,158,507,068 : x
  2. Step 2: Convert to fraction form
    1,140,586,957,713/2,417,158,507,068 = 2,417,158,507,068/x
  3. Step 3: Cross multiply
    1,140,586,957,713x = 2,417,158,507,068 × 2,417,158,507,068
  4. Step 4: Simplify right side
    1,140,586,957,713x = 5,842,655,248,291,202,936,602,624
  5. Step 5: Solve for x
    x = 5,842,655,248,291,202,936,602,624/1,140,586,957,713
  6. Step 6: Final answer
    x = 5,122,498,735,218.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.