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Finding the Third Proportional to 3,156,570 and 6,805,701

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Solution

The third proportional to 3,156,570 and 6,805,701 is: 14,673,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,570 : 6,805,701 = 6,805,701 : x
  2. Step 2: Convert to fraction form
    3,156,570/6,805,701 = 6,805,701/x
  3. Step 3: Cross multiply
    3,156,570x = 6,805,701 × 6,805,701
  4. Step 4: Simplify right side
    3,156,570x = 46,317,566,101,401
  5. Step 5: Solve for x
    x = 46,317,566,101,401/3,156,570
  6. Step 6: Final answer
    x = 14,673,384.75

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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.