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Finding the Third Proportional to 14,914,830 and 23,031,609

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Solution

The third proportional to 14,914,830 and 23,031,609 is: 35,565,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914,830 : 23,031,609 = 23,031,609 : x
  2. Step 2: Convert to fraction form
    14,914,830/23,031,609 = 23,031,609/x
  3. Step 3: Cross multiply
    14,914,830x = 23,031,609 × 23,031,609
  4. Step 4: Simplify right side
    14,914,830x = 530,455,013,128,881
  5. Step 5: Solve for x
    x = 530,455,013,128,881/14,914,830
  6. Step 6: Final answer
    x = 35,565,609.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.