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Finding the Third Proportional to 10,868,526 and 23,032,890

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Solution

The third proportional to 10,868,526 and 23,032,890 is: 48,811,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868,526 : 23,032,890 = 23,032,890 : x
  2. Step 2: Convert to fraction form
    10,868,526/23,032,890 = 23,032,890/x
  3. Step 3: Cross multiply
    10,868,526x = 23,032,890 × 23,032,890
  4. Step 4: Simplify right side
    10,868,526x = 530,514,021,752,100
  5. Step 5: Solve for x
    x = 530,514,021,752,100/10,868,526
  6. Step 6: Final answer
    x = 48,811,956.81

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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.