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Finding the Third Proportional to 634,176,357 and 1,393,064,202

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Solution

The third proportional to 634,176,357 and 1,393,064,202 is: 3,060,076,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,176,357 : 1,393,064,202 = 1,393,064,202 : x
  2. Step 2: Convert to fraction form
    634,176,357/1,393,064,202 = 1,393,064,202/x
  3. Step 3: Cross multiply
    634,176,357x = 1,393,064,202 × 1,393,064,202
  4. Step 4: Simplify right side
    634,176,357x = 1,940,627,870,893,896,704
  5. Step 5: Solve for x
    x = 1,940,627,870,893,896,704/634,176,357
  6. Step 6: Final answer
    x = 3,060,076,033.23

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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.