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Finding the Third Proportional to 6,489,864 and 10,088,784

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Solution

The third proportional to 6,489,864 and 10,088,784 is: 15,683,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,864 : 10,088,784 = 10,088,784 : x
  2. Step 2: Convert to fraction form
    6,489,864/10,088,784 = 10,088,784/x
  3. Step 3: Cross multiply
    6,489,864x = 10,088,784 × 10,088,784
  4. Step 4: Simplify right side
    6,489,864x = 101,783,562,598,656
  5. Step 5: Solve for x
    x = 101,783,562,598,656/6,489,864
  6. Step 6: Final answer
    x = 15,683,466.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.