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Finding the Third Proportional to 76,454,127,870 and 106,303,353,705

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Solution

The third proportional to 76,454,127,870 and 106,303,353,705 is: 147,806,316,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,127,870 : 106,303,353,705 = 106,303,353,705 : x
  2. Step 2: Convert to fraction form
    76,454,127,870/106,303,353,705 = 106,303,353,705/x
  3. Step 3: Cross multiply
    76,454,127,870x = 106,303,353,705 × 106,303,353,705
  4. Step 4: Simplify right side
    76,454,127,870x = 11,300,403,008,930,337,259,520
  5. Step 5: Solve for x
    x = 11,300,403,008,930,337,259,520/76,454,127,870
  6. Step 6: Final answer
    x = 147,806,316,333.18

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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.