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Finding the Third Proportional to 7,709,925 and 11,566,359

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Solution

The third proportional to 7,709,925 and 11,566,359 is: 17,351,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,925 : 11,566,359 = 11,566,359 : x
  2. Step 2: Convert to fraction form
    7,709,925/11,566,359 = 11,566,359/x
  3. Step 3: Cross multiply
    7,709,925x = 11,566,359 × 11,566,359
  4. Step 4: Simplify right side
    7,709,925x = 133,780,660,516,881
  5. Step 5: Solve for x
    x = 133,780,660,516,881/7,709,925
  6. Step 6: Final answer
    x = 17,351,746.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.