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Finding the Third Proportional to 3,710,284,320 and 8,087,235,936

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Solution

The third proportional to 3,710,284,320 and 8,087,235,936 is: 17,627,593,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710,284,320 : 8,087,235,936 = 8,087,235,936 : x
  2. Step 2: Convert to fraction form
    3,710,284,320/8,087,235,936 = 8,087,235,936/x
  3. Step 3: Cross multiply
    3,710,284,320x = 8,087,235,936 × 8,087,235,936
  4. Step 4: Simplify right side
    3,710,284,320x = 65,403,385,084,529,795,072
  5. Step 5: Solve for x
    x = 65,403,385,084,529,795,072/3,710,284,320
  6. Step 6: Final answer
    x = 17,627,593,856.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.