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Finding the Third Proportional to 4,429,430 and 6,833,031

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Solution

The third proportional to 4,429,430 and 6,833,031 is: 10,540,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429,430 : 6,833,031 = 6,833,031 : x
  2. Step 2: Convert to fraction form
    4,429,430/6,833,031 = 6,833,031/x
  3. Step 3: Cross multiply
    4,429,430x = 6,833,031 × 6,833,031
  4. Step 4: Simplify right side
    4,429,430x = 46,690,312,646,961
  5. Step 5: Solve for x
    x = 46,690,312,646,961/4,429,430
  6. Step 6: Final answer
    x = 10,540,930.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.