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Finding the Third Proportional to 55,816,616,369 and 85,794,141,194

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Solution

The third proportional to 55,816,616,369 and 85,794,141,194 is: 131,871,746,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,816,616,369 : 85,794,141,194 = 85,794,141,194 : x
  2. Step 2: Convert to fraction form
    55,816,616,369/85,794,141,194 = 85,794,141,194/x
  3. Step 3: Cross multiply
    55,816,616,369x = 85,794,141,194 × 85,794,141,194
  4. Step 4: Simplify right side
    55,816,616,369x = 7,360,634,663,216,007,348,224
  5. Step 5: Solve for x
    x = 7,360,634,663,216,007,348,224/55,816,616,369
  6. Step 6: Final answer
    x = 131,871,746,122.25

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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.