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Finding the Third Proportional to 9,700,510 and 13,487,640

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Solution

The third proportional to 9,700,510 and 13,487,640 is: 18,753,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,510 : 13,487,640 = 13,487,640 : x
  2. Step 2: Convert to fraction form
    9,700,510/13,487,640 = 13,487,640/x
  3. Step 3: Cross multiply
    9,700,510x = 13,487,640 × 13,487,640
  4. Step 4: Simplify right side
    9,700,510x = 181,916,432,769,600
  5. Step 5: Solve for x
    x = 181,916,432,769,600/9,700,510
  6. Step 6: Final answer
    x = 18,753,285.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.