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Finding the Third Proportional to 2,912,506 and 6,336,346

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Solution

The third proportional to 2,912,506 and 6,336,346 is: 13,785,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,506 : 6,336,346 = 6,336,346 : x
  2. Step 2: Convert to fraction form
    2,912,506/6,336,346 = 6,336,346/x
  3. Step 3: Cross multiply
    2,912,506x = 6,336,346 × 6,336,346
  4. Step 4: Simplify right side
    2,912,506x = 40,149,280,631,716
  5. Step 5: Solve for x
    x = 40,149,280,631,716/2,912,506
  6. Step 6: Final answer
    x = 13,785,132.33

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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.