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Finding the Third Proportional to 466,357,499,612.73 and 716,506,755,418.82

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Solution

The third proportional to 466,357,499,612.73 and 716,506,755,418.82 is: 1,100,833,439,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,357,499,612.73 : 716,506,755,418.82 = 716,506,755,418.82 : x
  2. Step 2: Convert to fraction form
    466,357,499,612.73/716,506,755,418.82 = 716,506,755,418.82/x
  3. Step 3: Cross multiply
    466,357,499,612.73x = 716,506,755,418.82 × 716,506,755,418.82
  4. Step 4: Simplify right side
    466,357,499,612.73x = 513,381,930,560,804,691,640,320
  5. Step 5: Solve for x
    x = 513,381,930,560,804,691,640,320/466,357,499,612.73
  6. Step 6: Final answer
    x = 1,100,833,439,983.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.