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Finding the Third Proportional to 7,209,065.81 and 9,630,014.06

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Solution

The third proportional to 7,209,065.81 and 9,630,014.06 is: 12,863,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209,065.81 : 9,630,014.06 = 9,630,014.06 : x
  2. Step 2: Convert to fraction form
    7,209,065.81/9,630,014.06 = 9,630,014.06/x
  3. Step 3: Cross multiply
    7,209,065.81x = 9,630,014.06 × 9,630,014.06
  4. Step 4: Simplify right side
    7,209,065.81x = 92,737,170,843,947.75
  5. Step 5: Solve for x
    x = 92,737,170,843,947.75/7,209,065.81
  6. Step 6: Final answer
    x = 12,863,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.