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Finding the Third Proportional to 36,363,579,264 and 84,961,729,070

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Solution

The third proportional to 36,363,579,264 and 84,961,729,070 is: 198,508,935,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,363,579,264 : 84,961,729,070 = 84,961,729,070 : x
  2. Step 2: Convert to fraction form
    36,363,579,264/84,961,729,070 = 84,961,729,070/x
  3. Step 3: Cross multiply
    36,363,579,264x = 84,961,729,070 × 84,961,729,070
  4. Step 4: Simplify right side
    36,363,579,264x = 7,218,495,406,564,083,499,008
  5. Step 5: Solve for x
    x = 7,218,495,406,564,083,499,008/36,363,579,264
  6. Step 6: Final answer
    x = 198,508,935,387.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.