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Finding the Third Proportional to 3,194,748 and 6,949,260

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Solution

The third proportional to 3,194,748 and 6,949,260 is: 15,116,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,748 : 6,949,260 = 6,949,260 : x
  2. Step 2: Convert to fraction form
    3,194,748/6,949,260 = 6,949,260/x
  3. Step 3: Cross multiply
    3,194,748x = 6,949,260 × 6,949,260
  4. Step 4: Simplify right side
    3,194,748x = 48,292,214,547,600
  5. Step 5: Solve for x
    x = 48,292,214,547,600/3,194,748
  6. Step 6: Final answer
    x = 15,116,126.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.