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Finding the Third Proportional to 1,695,519,070 and 2,290,076,472

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Solution

The third proportional to 1,695,519,070 and 2,290,076,472 is: 3,093,123,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,519,070 : 2,290,076,472 = 2,290,076,472 : x
  2. Step 2: Convert to fraction form
    1,695,519,070/2,290,076,472 = 2,290,076,472/x
  3. Step 3: Cross multiply
    1,695,519,070x = 2,290,076,472 × 2,290,076,472
  4. Step 4: Simplify right side
    1,695,519,070x = 5,244,450,247,607,966,720
  5. Step 5: Solve for x
    x = 5,244,450,247,607,966,720/1,695,519,070
  6. Step 6: Final answer
    x = 3,093,123,716.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.