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Finding the Third Proportional to 10,842,741 and 22,584,420

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Solution

The third proportional to 10,842,741 and 22,584,420 is: 47,041,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,741 : 22,584,420 = 22,584,420 : x
  2. Step 2: Convert to fraction form
    10,842,741/22,584,420 = 22,584,420/x
  3. Step 3: Cross multiply
    10,842,741x = 22,584,420 × 22,584,420
  4. Step 4: Simplify right side
    10,842,741x = 510,056,026,736,400
  5. Step 5: Solve for x
    x = 510,056,026,736,400/10,842,741
  6. Step 6: Final answer
    x = 47,041,244.16

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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.