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Finding the Third Proportional to 6,984,572 and 10,433,840

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Solution

The third proportional to 6,984,572 and 10,433,840 is: 15,586,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,572 : 10,433,840 = 10,433,840 : x
  2. Step 2: Convert to fraction form
    6,984,572/10,433,840 = 10,433,840/x
  3. Step 3: Cross multiply
    6,984,572x = 10,433,840 × 10,433,840
  4. Step 4: Simplify right side
    6,984,572x = 108,865,017,145,600
  5. Step 5: Solve for x
    x = 108,865,017,145,600/6,984,572
  6. Step 6: Final answer
    x = 15,586,497.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.