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Finding the Third Proportional to 45,173,722,466 and 68,341,579,581

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Solution

The third proportional to 45,173,722,466 and 68,341,579,581 is: 103,391,335,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,173,722,466 : 68,341,579,581 = 68,341,579,581 : x
  2. Step 2: Convert to fraction form
    45,173,722,466/68,341,579,581 = 68,341,579,581/x
  3. Step 3: Cross multiply
    45,173,722,466x = 68,341,579,581 × 68,341,579,581
  4. Step 4: Simplify right side
    45,173,722,466x = 4,670,571,499,626,156,261,376
  5. Step 5: Solve for x
    x = 4,670,571,499,626,156,261,376/45,173,722,466
  6. Step 6: Final answer
    x = 103,391,335,596.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.