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Finding the Third Proportional to 70,465,716 and 107,804,658

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Solution

The third proportional to 70,465,716 and 107,804,658 is: 164,929,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,465,716 : 107,804,658 = 107,804,658 : x
  2. Step 2: Convert to fraction form
    70,465,716/107,804,658 = 107,804,658/x
  3. Step 3: Cross multiply
    70,465,716x = 107,804,658 × 107,804,658
  4. Step 4: Simplify right side
    70,465,716x = 11,621,844,286,496,964
  5. Step 5: Solve for x
    x = 11,621,844,286,496,964/70,465,716
  6. Step 6: Final answer
    x = 164,929,059.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.