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Finding the Third Proportional to 4,847,495 and 7,516,214

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Solution

The third proportional to 4,847,495 and 7,516,214 is: 11,654,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847,495 : 7,516,214 = 7,516,214 : x
  2. Step 2: Convert to fraction form
    4,847,495/7,516,214 = 7,516,214/x
  3. Step 3: Cross multiply
    4,847,495x = 7,516,214 × 7,516,214
  4. Step 4: Simplify right side
    4,847,495x = 56,493,472,893,796
  5. Step 5: Solve for x
    x = 56,493,472,893,796/4,847,495
  6. Step 6: Final answer
    x = 11,654,158.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.