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Finding the Third Proportional to 35,426,754,841 and 78,074,610,597

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Solution

The third proportional to 35,426,754,841 and 78,074,610,597 is: 172,063,313,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426,754,841 : 78,074,610,597 = 78,074,610,597 : x
  2. Step 2: Convert to fraction form
    35,426,754,841/78,074,610,597 = 78,074,610,597/x
  3. Step 3: Cross multiply
    35,426,754,841x = 78,074,610,597 × 78,074,610,597
  4. Step 4: Simplify right side
    35,426,754,841x = 6,095,644,819,873,184,350,208
  5. Step 5: Solve for x
    x = 6,095,644,819,873,184,350,208/35,426,754,841
  6. Step 6: Final answer
    x = 172,063,313,369.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.