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Finding the Third Proportional to 6,700,340 and 14,676,664

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Solution

The third proportional to 6,700,340 and 14,676,664 is: 32,148,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700,340 : 14,676,664 = 14,676,664 : x
  2. Step 2: Convert to fraction form
    6,700,340/14,676,664 = 14,676,664/x
  3. Step 3: Cross multiply
    6,700,340x = 14,676,664 × 14,676,664
  4. Step 4: Simplify right side
    6,700,340x = 215,404,466,168,896
  5. Step 5: Solve for x
    x = 215,404,466,168,896/6,700,340
  6. Step 6: Final answer
    x = 32,148,288.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.