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Finding the Third Proportional to 6,121,887,784 and 9,181,237,312

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Solution

The third proportional to 6,121,887,784 and 9,181,237,312 is: 13,769,464,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,887,784 : 9,181,237,312 = 9,181,237,312 : x
  2. Step 2: Convert to fraction form
    6,121,887,784/9,181,237,312 = 9,181,237,312/x
  3. Step 3: Cross multiply
    6,121,887,784x = 9,181,237,312 × 9,181,237,312
  4. Step 4: Simplify right side
    6,121,887,784x = 84,295,118,579,260,981,248
  5. Step 5: Solve for x
    x = 84,295,118,579,260,981,248/6,121,887,784
  6. Step 6: Final answer
    x = 13,769,464,837.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.