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Finding the Third Proportional to 6,724,860 and 14,592,840

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Solution

The third proportional to 6,724,860 and 14,592,840 is: 31,666,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,860 : 14,592,840 = 14,592,840 : x
  2. Step 2: Convert to fraction form
    6,724,860/14,592,840 = 14,592,840/x
  3. Step 3: Cross multiply
    6,724,860x = 14,592,840 × 14,592,840
  4. Step 4: Simplify right side
    6,724,860x = 212,950,979,265,600
  5. Step 5: Solve for x
    x = 212,950,979,265,600/6,724,860
  6. Step 6: Final answer
    x = 31,666,232.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.