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Finding the Third Proportional to 7,031,707 and 10,566,284

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Solution

The third proportional to 7,031,707 and 10,566,284 is: 15,877,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031,707 : 10,566,284 = 10,566,284 : x
  2. Step 2: Convert to fraction form
    7,031,707/10,566,284 = 10,566,284/x
  3. Step 3: Cross multiply
    7,031,707x = 10,566,284 × 10,566,284
  4. Step 4: Simplify right side
    7,031,707x = 111,646,357,568,656
  5. Step 5: Solve for x
    x = 111,646,357,568,656/7,031,707
  6. Step 6: Final answer
    x = 15,877,561.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.