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Finding the Third Proportional to 9,687,924 and 22,837,140

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Solution

The third proportional to 9,687,924 and 22,837,140 is: 53,833,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,924 : 22,837,140 = 22,837,140 : x
  2. Step 2: Convert to fraction form
    9,687,924/22,837,140 = 22,837,140/x
  3. Step 3: Cross multiply
    9,687,924x = 22,837,140 × 22,837,140
  4. Step 4: Simplify right side
    9,687,924x = 521,534,963,379,600
  5. Step 5: Solve for x
    x = 521,534,963,379,600/9,687,924
  6. Step 6: Final answer
    x = 53,833,511.02

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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.