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Finding the Third Proportional to 45,730,348 and 100,672,340

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Solution

The third proportional to 45,730,348 and 100,672,340 is: 221,623,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730,348 : 100,672,340 = 100,672,340 : x
  2. Step 2: Convert to fraction form
    45,730,348/100,672,340 = 100,672,340/x
  3. Step 3: Cross multiply
    45,730,348x = 100,672,340 × 100,672,340
  4. Step 4: Simplify right side
    45,730,348x = 10,134,920,041,075,600
  5. Step 5: Solve for x
    x = 10,134,920,041,075,600/45,730,348
  6. Step 6: Final answer
    x = 221,623,505.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.