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Finding the Third Proportional to 23,063,378 and 32,441,547

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Solution

The third proportional to 23,063,378 and 32,441,547 is: 45,633,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063,378 : 32,441,547 = 32,441,547 : x
  2. Step 2: Convert to fraction form
    23,063,378/32,441,547 = 32,441,547/x
  3. Step 3: Cross multiply
    23,063,378x = 32,441,547 × 32,441,547
  4. Step 4: Simplify right side
    23,063,378x = 1,052,453,971,753,209
  5. Step 5: Solve for x
    x = 1,052,453,971,753,209/23,063,378
  6. Step 6: Final answer
    x = 45,633,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.