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Finding the Third Proportional to 30,369,117,873,368 and 66,540,176,788,432

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Solution

The third proportional to 30,369,117,873,368 and 66,540,176,788,432 is: 145,792,681,417,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369,117,873,368 : 66,540,176,788,432 = 66,540,176,788,432 : x
  2. Step 2: Convert to fraction form
    30,369,117,873,368/66,540,176,788,432 = 66,540,176,788,432/x
  3. Step 3: Cross multiply
    30,369,117,873,368x = 66,540,176,788,432 × 66,540,176,788,432
  4. Step 4: Simplify right side
    30,369,117,873,368x = 4,427,595,127,035,784,895,968,313,344
  5. Step 5: Solve for x
    x = 4,427,595,127,035,784,895,968,313,344/30,369,117,873,368
  6. Step 6: Final answer
    x = 145,792,681,417,280.66

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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.