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Finding the Third Proportional to 2,626,114 and 5,712,349

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Solution

The third proportional to 2,626,114 and 5,712,349 is: 12,425,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626,114 : 5,712,349 = 5,712,349 : x
  2. Step 2: Convert to fraction form
    2,626,114/5,712,349 = 5,712,349/x
  3. Step 3: Cross multiply
    2,626,114x = 5,712,349 × 5,712,349
  4. Step 4: Simplify right side
    2,626,114x = 32,630,931,097,801
  5. Step 5: Solve for x
    x = 32,630,931,097,801/2,626,114
  6. Step 6: Final answer
    x = 12,425,557.72

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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.