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Finding the Third Proportional to 134,604,008,049 and 290,699,684,913

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Solution

The third proportional to 134,604,008,049 and 290,699,684,913 is: 627,814,193,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,604,008,049 : 290,699,684,913 = 290,699,684,913 : x
  2. Step 2: Convert to fraction form
    134,604,008,049/290,699,684,913 = 290,699,684,913/x
  3. Step 3: Cross multiply
    134,604,008,049x = 290,699,684,913 × 290,699,684,913
  4. Step 4: Simplify right side
    134,604,008,049x = 84,506,306,808,517,486,444,544
  5. Step 5: Solve for x
    x = 84,506,306,808,517,486,444,544/134,604,008,049
  6. Step 6: Final answer
    x = 627,814,193,896.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.