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Finding the Third Proportional to 14,894,768 and 32,443,712

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Solution

The third proportional to 14,894,768 and 32,443,712 is: 70,668,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894,768 : 32,443,712 = 32,443,712 : x
  2. Step 2: Convert to fraction form
    14,894,768/32,443,712 = 32,443,712/x
  3. Step 3: Cross multiply
    14,894,768x = 32,443,712 × 32,443,712
  4. Step 4: Simplify right side
    14,894,768x = 1,052,594,448,338,944
  5. Step 5: Solve for x
    x = 1,052,594,448,338,944/14,894,768
  6. Step 6: Final answer
    x = 70,668,737.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.