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Finding the Third Proportional to 653,145,226,440 and 908,146,230,156

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Solution

The third proportional to 653,145,226,440 and 908,146,230,156 is: 1,262,704,743,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,145,226,440 : 908,146,230,156 = 908,146,230,156 : x
  2. Step 2: Convert to fraction form
    653,145,226,440/908,146,230,156 = 908,146,230,156/x
  3. Step 3: Cross multiply
    653,145,226,440x = 908,146,230,156 × 908,146,230,156
  4. Step 4: Simplify right side
    653,145,226,440x = 824,729,575,346,554,458,341,376
  5. Step 5: Solve for x
    x = 824,729,575,346,554,458,341,376/653,145,226,440
  6. Step 6: Final answer
    x = 1,262,704,743,081.08

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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.