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Finding the Third Proportional to 4,528,596 and 9,897,000

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Solution

The third proportional to 4,528,596 and 9,897,000 is: 21,629,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528,596 : 9,897,000 = 9,897,000 : x
  2. Step 2: Convert to fraction form
    4,528,596/9,897,000 = 9,897,000/x
  3. Step 3: Cross multiply
    4,528,596x = 9,897,000 × 9,897,000
  4. Step 4: Simplify right side
    4,528,596x = 97,950,609,000,000
  5. Step 5: Solve for x
    x = 97,950,609,000,000/4,528,596
  6. Step 6: Final answer
    x = 21,629,354.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.