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Finding the Third Proportional to 42,449,243,616 and 90,861,596,640

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Solution

The third proportional to 42,449,243,616 and 90,861,596,640 is: 194,487,087,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449,243,616 : 90,861,596,640 = 90,861,596,640 : x
  2. Step 2: Convert to fraction form
    42,449,243,616/90,861,596,640 = 90,861,596,640/x
  3. Step 3: Cross multiply
    42,449,243,616x = 90,861,596,640 × 90,861,596,640
  4. Step 4: Simplify right side
    42,449,243,616x = 8,255,829,743,970,059,026,432
  5. Step 5: Solve for x
    x = 8,255,829,743,970,059,026,432/42,449,243,616
  6. Step 6: Final answer
    x = 194,487,087,182.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.