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Finding the Third Proportional to 8,423,058 and 13,564,797

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Solution

The third proportional to 8,423,058 and 13,564,797 is: 21,845,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,058 : 13,564,797 = 13,564,797 : x
  2. Step 2: Convert to fraction form
    8,423,058/13,564,797 = 13,564,797/x
  3. Step 3: Cross multiply
    8,423,058x = 13,564,797 × 13,564,797
  4. Step 4: Simplify right side
    8,423,058x = 184,003,717,651,209
  5. Step 5: Solve for x
    x = 184,003,717,651,209/8,423,058
  6. Step 6: Final answer
    x = 21,845,239.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.