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Finding the Third Proportional to 653,145,226,416 and 908,146,230,110

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Solution

The third proportional to 653,145,226,416 and 908,146,230,110 is: 1,262,704,742,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,145,226,416 : 908,146,230,110 = 908,146,230,110 : x
  2. Step 2: Convert to fraction form
    653,145,226,416/908,146,230,110 = 908,146,230,110/x
  3. Step 3: Cross multiply
    653,145,226,416x = 908,146,230,110 × 908,146,230,110
  4. Step 4: Simplify right side
    653,145,226,416x = 824,729,575,263,005,130,620,928
  5. Step 5: Solve for x
    x = 824,729,575,263,005,130,620,928/653,145,226,416
  6. Step 6: Final answer
    x = 1,262,704,742,999.56

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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.