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Finding the Third Proportional to 6,746,884 and 10,730,358

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Solution

The third proportional to 6,746,884 and 10,730,358 is: 17,065,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,884 : 10,730,358 = 10,730,358 : x
  2. Step 2: Convert to fraction form
    6,746,884/10,730,358 = 10,730,358/x
  3. Step 3: Cross multiply
    6,746,884x = 10,730,358 × 10,730,358
  4. Step 4: Simplify right side
    6,746,884x = 115,140,582,808,164
  5. Step 5: Solve for x
    x = 115,140,582,808,164/6,746,884
  6. Step 6: Final answer
    x = 17,065,742.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.