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Finding the Third Proportional to 15,536,640 and 24,319,072

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Solution

The third proportional to 15,536,640 and 24,319,072 is: 38,065,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536,640 : 24,319,072 = 24,319,072 : x
  2. Step 2: Convert to fraction form
    15,536,640/24,319,072 = 24,319,072/x
  3. Step 3: Cross multiply
    15,536,640x = 24,319,072 × 24,319,072
  4. Step 4: Simplify right side
    15,536,640x = 591,417,262,941,184
  5. Step 5: Solve for x
    x = 591,417,262,941,184/15,536,640
  6. Step 6: Final answer
    x = 38,065,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.