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Finding the Third Proportional to 653,145,224,919 and 908,146,227,516

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Solution

The third proportional to 653,145,224,919 and 908,146,227,516 is: 1,262,704,738,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,145,224,919 : 908,146,227,516 = 908,146,227,516 : x
  2. Step 2: Convert to fraction form
    653,145,224,919/908,146,227,516 = 908,146,227,516/x
  3. Step 3: Cross multiply
    653,145,224,919x = 908,146,227,516 × 908,146,227,516
  4. Step 4: Simplify right side
    653,145,224,919x = 824,729,570,551,542,373,679,104
  5. Step 5: Solve for x
    x = 824,729,570,551,542,373,679,104/653,145,224,919
  6. Step 6: Final answer
    x = 1,262,704,738,680.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.