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Finding the Third Proportional to 972,840,776,258 and 2,092,090,744,113

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Solution

The third proportional to 972,840,776,258 and 2,092,090,744,113 is: 4,499,033,951,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,840,776,258 : 2,092,090,744,113 = 2,092,090,744,113 : x
  2. Step 2: Convert to fraction form
    972,840,776,258/2,092,090,744,113 = 2,092,090,744,113/x
  3. Step 3: Cross multiply
    972,840,776,258x = 2,092,090,744,113 × 2,092,090,744,113
  4. Step 4: Simplify right side
    972,840,776,258x = 4,376,843,681,603,285,982,117,888
  5. Step 5: Solve for x
    x = 4,376,843,681,603,285,982,117,888/972,840,776,258
  6. Step 6: Final answer
    x = 4,499,033,951,309.76

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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.