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Finding the Third Proportional to 9,771,612 and 21,470,538

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Solution

The third proportional to 9,771,612 and 21,470,538 is: 47,175,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771,612 : 21,470,538 = 21,470,538 : x
  2. Step 2: Convert to fraction form
    9,771,612/21,470,538 = 21,470,538/x
  3. Step 3: Cross multiply
    9,771,612x = 21,470,538 × 21,470,538
  4. Step 4: Simplify right side
    9,771,612x = 460,984,002,009,444
  5. Step 5: Solve for x
    x = 460,984,002,009,444/9,771,612
  6. Step 6: Final answer
    x = 47,175,839.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.