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Finding the Third Proportional to 6,897,324 and 16,258,912

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Solution

The third proportional to 6,897,324 and 16,258,912 is: 38,326,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897,324 : 16,258,912 = 16,258,912 : x
  2. Step 2: Convert to fraction form
    6,897,324/16,258,912 = 16,258,912/x
  3. Step 3: Cross multiply
    6,897,324x = 16,258,912 × 16,258,912
  4. Step 4: Simplify right side
    6,897,324x = 264,352,219,423,744
  5. Step 5: Solve for x
    x = 264,352,219,423,744/6,897,324
  6. Step 6: Final answer
    x = 38,326,779.98

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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.