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Finding the Third Proportional to 2,692,345,049 and 4,135,771,641

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Solution

The third proportional to 2,692,345,049 and 4,135,771,641 is: 6,353,051,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,345,049 : 4,135,771,641 = 4,135,771,641 : x
  2. Step 2: Convert to fraction form
    2,692,345,049/4,135,771,641 = 4,135,771,641/x
  3. Step 3: Cross multiply
    2,692,345,049x = 4,135,771,641 × 4,135,771,641
  4. Step 4: Simplify right side
    2,692,345,049x = 17,104,607,066,499,833,856
  5. Step 5: Solve for x
    x = 17,104,607,066,499,833,856/2,692,345,049
  6. Step 6: Final answer
    x = 6,353,051,616.79

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