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Finding the Third Proportional to 9,620,501 and 20,037,070

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Solution

The third proportional to 9,620,501 and 20,037,070 is: 41,732,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620,501 : 20,037,070 = 20,037,070 : x
  2. Step 2: Convert to fraction form
    9,620,501/20,037,070 = 20,037,070/x
  3. Step 3: Cross multiply
    9,620,501x = 20,037,070 × 20,037,070
  4. Step 4: Simplify right side
    9,620,501x = 401,484,174,184,900
  5. Step 5: Solve for x
    x = 401,484,174,184,900/9,620,501
  6. Step 6: Final answer
    x = 41,732,148.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.