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Finding the Third Proportional to 19,716,965,602 and 43,842,363,332

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Solution

The third proportional to 19,716,965,602 and 43,842,363,332 is: 97,487,253,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716,965,602 : 43,842,363,332 = 43,842,363,332 : x
  2. Step 2: Convert to fraction form
    19,716,965,602/43,842,363,332 = 43,842,363,332/x
  3. Step 3: Cross multiply
    19,716,965,602x = 43,842,363,332 × 43,842,363,332
  4. Step 4: Simplify right side
    19,716,965,602x = 1,922,152,822,535,098,204,160
  5. Step 5: Solve for x
    x = 1,922,152,822,535,098,204,160/19,716,965,602
  6. Step 6: Final answer
    x = 97,487,253,431.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.