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Finding the Third Proportional to 7,544,386 and 15,437,348

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Solution

The third proportional to 7,544,386 and 15,437,348 is: 31,587,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,386 : 15,437,348 = 15,437,348 : x
  2. Step 2: Convert to fraction form
    7,544,386/15,437,348 = 15,437,348/x
  3. Step 3: Cross multiply
    7,544,386x = 15,437,348 × 15,437,348
  4. Step 4: Simplify right side
    7,544,386x = 238,311,713,273,104
  5. Step 5: Solve for x
    x = 238,311,713,273,104/7,544,386
  6. Step 6: Final answer
    x = 31,587,953.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.