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Finding the Third Proportional to 21,458,000 and 45,984,124

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Solution

The third proportional to 21,458,000 and 45,984,124 is: 98,543,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458,000 : 45,984,124 = 45,984,124 : x
  2. Step 2: Convert to fraction form
    21,458,000/45,984,124 = 45,984,124/x
  3. Step 3: Cross multiply
    21,458,000x = 45,984,124 × 45,984,124
  4. Step 4: Simplify right side
    21,458,000x = 2,114,539,660,047,376
  5. Step 5: Solve for x
    x = 2,114,539,660,047,376/21,458,000
  6. Step 6: Final answer
    x = 98,543,184.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.