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Finding the Third Proportional to 6,005,643.75 and 9,307,089

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Solution

The third proportional to 6,005,643.75 and 9,307,089 is: 14,423,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,643.75 : 9,307,089 = 9,307,089 : x
  2. Step 2: Convert to fraction form
    6,005,643.75/9,307,089 = 9,307,089/x
  3. Step 3: Cross multiply
    6,005,643.75x = 9,307,089 × 9,307,089
  4. Step 4: Simplify right side
    6,005,643.75x = 86,621,905,653,921
  5. Step 5: Solve for x
    x = 86,621,905,653,921/6,005,643.75
  6. Step 6: Final answer
    x = 14,423,417.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.