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Finding the Third Proportional to 16,191,774 and 38,223,271

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Solution

The third proportional to 16,191,774 and 38,223,271 is: 90,232,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191,774 : 38,223,271 = 38,223,271 : x
  2. Step 2: Convert to fraction form
    16,191,774/38,223,271 = 38,223,271/x
  3. Step 3: Cross multiply
    16,191,774x = 38,223,271 × 38,223,271
  4. Step 4: Simplify right side
    16,191,774x = 1,461,018,445,939,441
  5. Step 5: Solve for x
    x = 1,461,018,445,939,441/16,191,774
  6. Step 6: Final answer
    x = 90,232,141.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.