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Finding the Third Proportional to 5,699,151.14 and 8,398,028.74

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Solution

The third proportional to 5,699,151.14 and 8,398,028.74 is: 12,374,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,151.14 : 8,398,028.74 = 8,398,028.74 : x
  2. Step 2: Convert to fraction form
    5,699,151.14/8,398,028.74 = 8,398,028.74/x
  3. Step 3: Cross multiply
    5,699,151.14x = 8,398,028.74 × 8,398,028.74
  4. Step 4: Simplify right side
    5,699,151.14x = 70,526,886,754,607.36
  5. Step 5: Solve for x
    x = 70,526,886,754,607.36/5,699,151.14
  6. Step 6: Final answer
    x = 12,374,980.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.