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Finding the Third Proportional to 9,829,064 and 20,442,864

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Solution

The third proportional to 9,829,064 and 20,442,864 is: 42,517,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,064 : 20,442,864 = 20,442,864 : x
  2. Step 2: Convert to fraction form
    9,829,064/20,442,864 = 20,442,864/x
  3. Step 3: Cross multiply
    9,829,064x = 20,442,864 × 20,442,864
  4. Step 4: Simplify right side
    9,829,064x = 417,910,688,522,496
  5. Step 5: Solve for x
    x = 417,910,688,522,496/9,829,064
  6. Step 6: Final answer
    x = 42,517,852.01

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