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Finding the Third Proportional to 4,417,074 and 9,343,430

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Solution

The third proportional to 4,417,074 and 9,343,430 is: 19,764,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417,074 : 9,343,430 = 9,343,430 : x
  2. Step 2: Convert to fraction form
    4,417,074/9,343,430 = 9,343,430/x
  3. Step 3: Cross multiply
    4,417,074x = 9,343,430 × 9,343,430
  4. Step 4: Simplify right side
    4,417,074x = 87,299,684,164,900
  5. Step 5: Solve for x
    x = 87,299,684,164,900/4,417,074
  6. Step 6: Final answer
    x = 19,764,143.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.