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Finding the Third Proportional to 38,863,124,982 and 59,708,896,304

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Solution

The third proportional to 38,863,124,982 and 59,708,896,304 is: 91,736,120,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863,124,982 : 59,708,896,304 = 59,708,896,304 : x
  2. Step 2: Convert to fraction form
    38,863,124,982/59,708,896,304 = 59,708,896,304/x
  3. Step 3: Cross multiply
    38,863,124,982x = 59,708,896,304 × 59,708,896,304
  4. Step 4: Simplify right side
    38,863,124,982x = 3,565,152,297,841,824,628,736
  5. Step 5: Solve for x
    x = 3,565,152,297,841,824,628,736/38,863,124,982
  6. Step 6: Final answer
    x = 91,736,120,023.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.