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Finding the Third Proportional to 5,702,127 and 12,408,066

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Solution

The third proportional to 5,702,127 and 12,408,066 is: 27,000,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,127 : 12,408,066 = 12,408,066 : x
  2. Step 2: Convert to fraction form
    5,702,127/12,408,066 = 12,408,066/x
  3. Step 3: Cross multiply
    5,702,127x = 12,408,066 × 12,408,066
  4. Step 4: Simplify right side
    5,702,127x = 153,960,101,860,356
  5. Step 5: Solve for x
    x = 153,960,101,860,356/5,702,127
  6. Step 6: Final answer
    x = 27,000,468.75

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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.