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Finding the Third Proportional to 612,857,682 and 975,649,132

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Solution

The third proportional to 612,857,682 and 975,649,132 is: 1,553,201,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,857,682 : 975,649,132 = 975,649,132 : x
  2. Step 2: Convert to fraction form
    612,857,682/975,649,132 = 975,649,132/x
  3. Step 3: Cross multiply
    612,857,682x = 975,649,132 × 975,649,132
  4. Step 4: Simplify right side
    612,857,682x = 951,891,228,772,353,408
  5. Step 5: Solve for x
    x = 951,891,228,772,353,408/612,857,682
  6. Step 6: Final answer
    x = 1,553,201,104.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.