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Finding the Third Proportional to 6,934,946 and 9,201,932

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Solution

The third proportional to 6,934,946 and 9,201,932 is: 12,209,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,946 : 9,201,932 = 9,201,932 : x
  2. Step 2: Convert to fraction form
    6,934,946/9,201,932 = 9,201,932/x
  3. Step 3: Cross multiply
    6,934,946x = 9,201,932 × 9,201,932
  4. Step 4: Simplify right side
    6,934,946x = 84,675,552,532,624
  5. Step 5: Solve for x
    x = 84,675,552,532,624/6,934,946
  6. Step 6: Final answer
    x = 12,209,980.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.