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Finding the Third Proportional to 9,277,740 and 19,191,897

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Solution

The third proportional to 9,277,740 and 19,191,897 is: 39,700,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,740 : 19,191,897 = 19,191,897 : x
  2. Step 2: Convert to fraction form
    9,277,740/19,191,897 = 19,191,897/x
  3. Step 3: Cross multiply
    9,277,740x = 19,191,897 × 19,191,897
  4. Step 4: Simplify right side
    9,277,740x = 368,328,910,458,609
  5. Step 5: Solve for x
    x = 368,328,910,458,609/9,277,740
  6. Step 6: Final answer
    x = 39,700,283.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.