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Finding the Third Proportional to 4,700,156 and 6,341,614

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Solution

The third proportional to 4,700,156 and 6,341,614 is: 8,556,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,156 : 6,341,614 = 6,341,614 : x
  2. Step 2: Convert to fraction form
    4,700,156/6,341,614 = 6,341,614/x
  3. Step 3: Cross multiply
    4,700,156x = 6,341,614 × 6,341,614
  4. Step 4: Simplify right side
    4,700,156x = 40,216,068,124,996
  5. Step 5: Solve for x
    x = 40,216,068,124,996/4,700,156
  6. Step 6: Final answer
    x = 8,556,326.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.