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Finding the Third Proportional to 39,719,913 and 85,710,078

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Solution

The third proportional to 39,719,913 and 85,710,078 is: 184,950,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719,913 : 85,710,078 = 85,710,078 : x
  2. Step 2: Convert to fraction form
    39,719,913/85,710,078 = 85,710,078/x
  3. Step 3: Cross multiply
    39,719,913x = 85,710,078 × 85,710,078
  4. Step 4: Simplify right side
    39,719,913x = 7,346,217,470,766,084
  5. Step 5: Solve for x
    x = 7,346,217,470,766,084/39,719,913
  6. Step 6: Final answer
    x = 184,950,492.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.