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Finding the Third Proportional to 6,559,913 and 14,234,883

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Solution

The third proportional to 6,559,913 and 14,234,883 is: 30,889,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559,913 : 14,234,883 = 14,234,883 : x
  2. Step 2: Convert to fraction form
    6,559,913/14,234,883 = 14,234,883/x
  3. Step 3: Cross multiply
    6,559,913x = 14,234,883 × 14,234,883
  4. Step 4: Simplify right side
    6,559,913x = 202,631,894,023,689
  5. Step 5: Solve for x
    x = 202,631,894,023,689/6,559,913
  6. Step 6: Final answer
    x = 30,889,417.90

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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.