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Finding the Third Proportional to 6,149,103 and 9,064,678.50

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Solution

The third proportional to 6,149,103 and 9,064,678.50 is: 13,362,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,103 : 9,064,678.50 = 9,064,678.50 : x
  2. Step 2: Convert to fraction form
    6,149,103/9,064,678.50 = 9,064,678.50/x
  3. Step 3: Cross multiply
    6,149,103x = 9,064,678.50 × 9,064,678.50
  4. Step 4: Simplify right side
    6,149,103x = 82,168,396,308,362.25
  5. Step 5: Solve for x
    x = 82,168,396,308,362.25/6,149,103
  6. Step 6: Final answer
    x = 13,362,663.84

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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.