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Finding the Third Proportional to 35,465,051,180 and 77,103,163,552

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Solution

The third proportional to 35,465,051,180 and 77,103,163,552 is: 167,626,935,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465,051,180 : 77,103,163,552 = 77,103,163,552 : x
  2. Step 2: Convert to fraction form
    35,465,051,180/77,103,163,552 = 77,103,163,552/x
  3. Step 3: Cross multiply
    35,465,051,180x = 77,103,163,552 × 77,103,163,552
  4. Step 4: Simplify right side
    35,465,051,180x = 5,944,897,829,726,461,100,032
  5. Step 5: Solve for x
    x = 5,944,897,829,726,461,100,032/35,465,051,180
  6. Step 6: Final answer
    x = 167,626,935,022.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.