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Finding the Third Proportional to 14,412,413 and 31,484,216

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Solution

The third proportional to 14,412,413 and 31,484,216 is: 68,777,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412,413 : 31,484,216 = 31,484,216 : x
  2. Step 2: Convert to fraction form
    14,412,413/31,484,216 = 31,484,216/x
  3. Step 3: Cross multiply
    14,412,413x = 31,484,216 × 31,484,216
  4. Step 4: Simplify right side
    14,412,413x = 991,255,857,134,656
  5. Step 5: Solve for x
    x = 991,255,857,134,656/14,412,413
  6. Step 6: Final answer
    x = 68,777,924.77

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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.