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Finding the Third Proportional to 16,178,964 and 22,756,853

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Solution

The third proportional to 16,178,964 and 22,756,853 is: 32,009,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178,964 : 22,756,853 = 22,756,853 : x
  2. Step 2: Convert to fraction form
    16,178,964/22,756,853 = 22,756,853/x
  3. Step 3: Cross multiply
    16,178,964x = 22,756,853 × 22,756,853
  4. Step 4: Simplify right side
    16,178,964x = 517,874,358,463,609
  5. Step 5: Solve for x
    x = 517,874,358,463,609/16,178,964
  6. Step 6: Final answer
    x = 32,009,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.