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Finding the Third Proportional to 1,502,517,187 and 2,076,194,773

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Solution

The third proportional to 1,502,517,187 and 2,076,194,773 is: 2,868,908,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,517,187 : 2,076,194,773 = 2,076,194,773 : x
  2. Step 2: Convert to fraction form
    1,502,517,187/2,076,194,773 = 2,076,194,773/x
  3. Step 3: Cross multiply
    1,502,517,187x = 2,076,194,773 × 2,076,194,773
  4. Step 4: Simplify right side
    1,502,517,187x = 4,310,584,735,432,521,728
  5. Step 5: Solve for x
    x = 4,310,584,735,432,521,728/1,502,517,187
  6. Step 6: Final answer
    x = 2,868,908,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.