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Finding the Third Proportional to 6,605,253 and 9,301,693.50

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Solution

The third proportional to 6,605,253 and 9,301,693.50 is: 13,098,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605,253 : 9,301,693.50 = 9,301,693.50 : x
  2. Step 2: Convert to fraction form
    6,605,253/9,301,693.50 = 9,301,693.50/x
  3. Step 3: Cross multiply
    6,605,253x = 9,301,693.50 × 9,301,693.50
  4. Step 4: Simplify right side
    6,605,253x = 86,521,501,967,942.25
  5. Step 5: Solve for x
    x = 86,521,501,967,942.25/6,605,253
  6. Step 6: Final answer
    x = 13,098,892.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.