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Finding the Third Proportional to 39,055,034,502 and 84,767,961,854

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Solution

The third proportional to 39,055,034,502 and 84,767,961,854 is: 183,986,711,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,055,034,502 : 84,767,961,854 = 84,767,961,854 : x
  2. Step 2: Convert to fraction form
    39,055,034,502/84,767,961,854 = 84,767,961,854/x
  3. Step 3: Cross multiply
    39,055,034,502x = 84,767,961,854 × 84,767,961,854
  4. Step 4: Simplify right side
    39,055,034,502x = 7,185,607,356,881,198,645,248
  5. Step 5: Solve for x
    x = 7,185,607,356,881,198,645,248/39,055,034,502
  6. Step 6: Final answer
    x = 183,986,711,278.24

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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.