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Finding the Third Proportional to 10,468,094 and 15,639,402

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Solution

The third proportional to 10,468,094 and 15,639,402 is: 23,365,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468,094 : 15,639,402 = 15,639,402 : x
  2. Step 2: Convert to fraction form
    10,468,094/15,639,402 = 15,639,402/x
  3. Step 3: Cross multiply
    10,468,094x = 15,639,402 × 15,639,402
  4. Step 4: Simplify right side
    10,468,094x = 244,590,894,917,604
  5. Step 5: Solve for x
    x = 244,590,894,917,604/10,468,094
  6. Step 6: Final answer
    x = 23,365,370.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.