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Finding the Third Proportional to 972,840,776,260 and 2,092,090,744,118

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Solution

The third proportional to 972,840,776,260 and 2,092,090,744,118 is: 4,499,033,951,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,840,776,260 : 2,092,090,744,118 = 2,092,090,744,118 : x
  2. Step 2: Convert to fraction form
    972,840,776,260/2,092,090,744,118 = 2,092,090,744,118/x
  3. Step 3: Cross multiply
    972,840,776,260x = 2,092,090,744,118 × 2,092,090,744,118
  4. Step 4: Simplify right side
    972,840,776,260x = 4,376,843,681,624,206,767,816,704
  5. Step 5: Solve for x
    x = 4,376,843,681,624,206,767,816,704/972,840,776,260
  6. Step 6: Final answer
    x = 4,499,033,951,322.02

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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.