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Finding the Third Proportional to 1,442,766,480 and 3,151,164,845

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Solution

The third proportional to 1,442,766,480 and 3,151,164,845 is: 6,882,499,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,766,480 : 3,151,164,845 = 3,151,164,845 : x
  2. Step 2: Convert to fraction form
    1,442,766,480/3,151,164,845 = 3,151,164,845/x
  3. Step 3: Cross multiply
    1,442,766,480x = 3,151,164,845 × 3,151,164,845
  4. Step 4: Simplify right side
    1,442,766,480x = 9,929,839,880,363,874,304
  5. Step 5: Solve for x
    x = 9,929,839,880,363,874,304/1,442,766,480
  6. Step 6: Final answer
    x = 6,882,499,710.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.