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Finding the Third Proportional to 11,748,115 and 24,907,574

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Solution

The third proportional to 11,748,115 and 24,907,574 is: 52,807,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,115 : 24,907,574 = 24,907,574 : x
  2. Step 2: Convert to fraction form
    11,748,115/24,907,574 = 24,907,574/x
  3. Step 3: Cross multiply
    11,748,115x = 24,907,574 × 24,907,574
  4. Step 4: Simplify right side
    11,748,115x = 620,387,242,565,476
  5. Step 5: Solve for x
    x = 620,387,242,565,476/11,748,115
  6. Step 6: Final answer
    x = 52,807,385.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.