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Finding the Third Proportional to 4,506,734 and 10,020,964

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Solution

The third proportional to 4,506,734 and 10,020,964 is: 22,282,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506,734 : 10,020,964 = 10,020,964 : x
  2. Step 2: Convert to fraction form
    4,506,734/10,020,964 = 10,020,964/x
  3. Step 3: Cross multiply
    4,506,734x = 10,020,964 × 10,020,964
  4. Step 4: Simplify right side
    4,506,734x = 100,419,719,489,296
  5. Step 5: Solve for x
    x = 100,419,719,489,296/4,506,734
  6. Step 6: Final answer
    x = 22,282,149.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.