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Finding the Third Proportional to 466,357,499,612.70 and 716,506,755,418.90

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Solution

The third proportional to 466,357,499,612.70 and 716,506,755,418.90 is: 1,100,833,439,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,357,499,612.70 : 716,506,755,418.90 = 716,506,755,418.90 : x
  2. Step 2: Convert to fraction form
    466,357,499,612.70/716,506,755,418.90 = 716,506,755,418.90/x
  3. Step 3: Cross multiply
    466,357,499,612.70x = 716,506,755,418.90 × 716,506,755,418.90
  4. Step 4: Simplify right side
    466,357,499,612.70x = 513,381,930,560,919,447,797,760
  5. Step 5: Solve for x
    x = 513,381,930,560,919,447,797,760/466,357,499,612.70
  6. Step 6: Final answer
    x = 1,100,833,439,983.86

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1.5x scale

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.