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Finding the Third Proportional to 1,695,519,066 and 2,290,076,466

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Solution

The third proportional to 1,695,519,066 and 2,290,076,466 is: 3,093,123,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,519,066 : 2,290,076,466 = 2,290,076,466 : x
  2. Step 2: Convert to fraction form
    1,695,519,066/2,290,076,466 = 2,290,076,466/x
  3. Step 3: Cross multiply
    1,695,519,066x = 2,290,076,466 × 2,290,076,466
  4. Step 4: Simplify right side
    1,695,519,066x = 5,244,450,220,127,048,704
  5. Step 5: Solve for x
    x = 5,244,450,220,127,048,704/1,695,519,066
  6. Step 6: Final answer
    x = 3,093,123,707.83

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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.