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Finding the Third Proportional to 15,703,825,881,447 and 34,365,921,881,346

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Solution

The third proportional to 15,703,825,881,447 and 34,365,921,881,346 is: 75,205,659,797,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703,825,881,447 : 34,365,921,881,346 = 34,365,921,881,346 : x
  2. Step 2: Convert to fraction form
    15,703,825,881,447/34,365,921,881,346 = 34,365,921,881,346/x
  3. Step 3: Cross multiply
    15,703,825,881,447x = 34,365,921,881,346 × 34,365,921,881,346
  4. Step 4: Simplify right side
    15,703,825,881,447x = 1,181,016,586,754,775,859,492,552,704
  5. Step 5: Solve for x
    x = 1,181,016,586,754,775,859,492,552,704/15,703,825,881,447
  6. Step 6: Final answer
    x = 75,205,659,797,213.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.