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Finding the Third Proportional to 30,369,117,873,370 and 66,540,176,788,436

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Solution

The third proportional to 30,369,117,873,370 and 66,540,176,788,436 is: 145,792,681,417,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369,117,873,370 : 66,540,176,788,436 = 66,540,176,788,436 : x
  2. Step 2: Convert to fraction form
    30,369,117,873,370/66,540,176,788,436 = 66,540,176,788,436/x
  3. Step 3: Cross multiply
    30,369,117,873,370x = 66,540,176,788,436 × 66,540,176,788,436
  4. Step 4: Simplify right side
    30,369,117,873,370x = 4,427,595,127,036,317,059,596,156,928
  5. Step 5: Solve for x
    x = 4,427,595,127,036,317,059,596,156,928/30,369,117,873,370
  6. Step 6: Final answer
    x = 145,792,681,417,288.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.