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Finding the Third Proportional to 7,506,624 and 16,402,745

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Solution

The third proportional to 7,506,624 and 16,402,745 is: 35,841,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506,624 : 16,402,745 = 16,402,745 : x
  2. Step 2: Convert to fraction form
    7,506,624/16,402,745 = 16,402,745/x
  3. Step 3: Cross multiply
    7,506,624x = 16,402,745 × 16,402,745
  4. Step 4: Simplify right side
    7,506,624x = 269,050,043,535,025
  5. Step 5: Solve for x
    x = 269,050,043,535,025/7,506,624
  6. Step 6: Final answer
    x = 35,841,683.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.