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Finding the Third Proportional to 7,565,402.53 and 15,669,123.15

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Solution

The third proportional to 7,565,402.53 and 15,669,123.15 is: 32,453,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,402.53 : 15,669,123.15 = 15,669,123.15 : x
  2. Step 2: Convert to fraction form
    7,565,402.53/15,669,123.15 = 15,669,123.15/x
  3. Step 3: Cross multiply
    7,565,402.53x = 15,669,123.15 × 15,669,123.15
  4. Step 4: Simplify right side
    7,565,402.53x = 245,521,420,363,291.41
  5. Step 5: Solve for x
    x = 245,521,420,363,291.41/7,565,402.53
  6. Step 6: Final answer
    x = 32,453,186.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.