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Finding the Third Proportional to 2,692,345,057 and 4,135,771,659

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Solution

The third proportional to 2,692,345,057 and 4,135,771,659 is: 6,353,051,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,345,057 : 4,135,771,659 = 4,135,771,659 : x
  2. Step 2: Convert to fraction form
    2,692,345,057/4,135,771,659 = 4,135,771,659/x
  3. Step 3: Cross multiply
    2,692,345,057x = 4,135,771,659 × 4,135,771,659
  4. Step 4: Simplify right side
    2,692,345,057x = 17,104,607,215,387,613,184
  5. Step 5: Solve for x
    x = 17,104,607,215,387,613,184/2,692,345,057
  6. Step 6: Final answer
    x = 6,353,051,653.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.