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Finding the Third Proportional to 314,918,964 and 443,282,049

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Solution

The third proportional to 314,918,964 and 443,282,049 is: 623,966,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,918,964 : 443,282,049 = 443,282,049 : x
  2. Step 2: Convert to fraction form
    314,918,964/443,282,049 = 443,282,049/x
  3. Step 3: Cross multiply
    314,918,964x = 443,282,049 × 443,282,049
  4. Step 4: Simplify right side
    314,918,964x = 196,498,974,965,638,400
  5. Step 5: Solve for x
    x = 196,498,974,965,638,400/314,918,964
  6. Step 6: Final answer
    x = 623,966,789.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.