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Finding the Third Proportional to 8,070,394 and 17,415,706

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Solution

The third proportional to 8,070,394 and 17,415,706 is: 37,582,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070,394 : 17,415,706 = 17,415,706 : x
  2. Step 2: Convert to fraction form
    8,070,394/17,415,706 = 17,415,706/x
  3. Step 3: Cross multiply
    8,070,394x = 17,415,706 × 17,415,706
  4. Step 4: Simplify right side
    8,070,394x = 303,306,815,478,436
  5. Step 5: Solve for x
    x = 303,306,815,478,436/8,070,394
  6. Step 6: Final answer
    x = 37,582,652.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.