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Finding the Third Proportional to 6,564,746 and 10,547,720

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Solution

The third proportional to 6,564,746 and 10,547,720 is: 16,947,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,746 : 10,547,720 = 10,547,720 : x
  2. Step 2: Convert to fraction form
    6,564,746/10,547,720 = 10,547,720/x
  3. Step 3: Cross multiply
    6,564,746x = 10,547,720 × 10,547,720
  4. Step 4: Simplify right side
    6,564,746x = 111,254,397,198,400
  5. Step 5: Solve for x
    x = 111,254,397,198,400/6,564,746
  6. Step 6: Final answer
    x = 16,947,250.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.