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Finding the Third Proportional to 10,834,984 and 22,566,780

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Solution

The third proportional to 10,834,984 and 22,566,780 is: 47,001,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,984 : 22,566,780 = 22,566,780 : x
  2. Step 2: Convert to fraction form
    10,834,984/22,566,780 = 22,566,780/x
  3. Step 3: Cross multiply
    10,834,984x = 22,566,780 × 22,566,780
  4. Step 4: Simplify right side
    10,834,984x = 509,259,559,568,400
  5. Step 5: Solve for x
    x = 509,259,559,568,400/10,834,984
  6. Step 6: Final answer
    x = 47,001,413.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.