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Finding the Third Proportional to 4,842,534 and 7,802,615

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Solution

The third proportional to 4,842,534 and 7,802,615 is: 12,572,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842,534 : 7,802,615 = 7,802,615 : x
  2. Step 2: Convert to fraction form
    4,842,534/7,802,615 = 7,802,615/x
  3. Step 3: Cross multiply
    4,842,534x = 7,802,615 × 7,802,615
  4. Step 4: Simplify right side
    4,842,534x = 60,880,800,838,225
  5. Step 5: Solve for x
    x = 60,880,800,838,225/4,842,534
  6. Step 6: Final answer
    x = 12,572,095.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.