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Finding the Third Proportional to 634,176,364 and 1,393,064,216

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Solution

The third proportional to 634,176,364 and 1,393,064,216 is: 3,060,076,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,176,364 : 1,393,064,216 = 1,393,064,216 : x
  2. Step 2: Convert to fraction form
    634,176,364/1,393,064,216 = 1,393,064,216/x
  3. Step 3: Cross multiply
    634,176,364x = 1,393,064,216 × 1,393,064,216
  4. Step 4: Simplify right side
    634,176,364x = 1,940,627,909,899,694,592
  5. Step 5: Solve for x
    x = 1,940,627,909,899,694,592/634,176,364
  6. Step 6: Final answer
    x = 3,060,076,060.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.