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Finding the Third Proportional to 3,141,184 and 6,899,462

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Solution

The third proportional to 3,141,184 and 6,899,462 is: 15,154,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,184 : 6,899,462 = 6,899,462 : x
  2. Step 2: Convert to fraction form
    3,141,184/6,899,462 = 6,899,462/x
  3. Step 3: Cross multiply
    3,141,184x = 6,899,462 × 6,899,462
  4. Step 4: Simplify right side
    3,141,184x = 47,602,575,889,444
  5. Step 5: Solve for x
    x = 47,602,575,889,444/3,141,184
  6. Step 6: Final answer
    x = 15,154,341.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.