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Finding the Third Proportional to 10,357,824 and 15,680,688

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Solution

The third proportional to 10,357,824 and 15,680,688 is: 23,738,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,824 : 15,680,688 = 15,680,688 : x
  2. Step 2: Convert to fraction form
    10,357,824/15,680,688 = 15,680,688/x
  3. Step 3: Cross multiply
    10,357,824x = 15,680,688 × 15,680,688
  4. Step 4: Simplify right side
    10,357,824x = 245,883,976,153,344
  5. Step 5: Solve for x
    x = 245,883,976,153,344/10,357,824
  6. Step 6: Final answer
    x = 23,738,960.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.