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Finding the Third Proportional to 55,816,616,392 and 85,794,141,240

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Solution

The third proportional to 55,816,616,392 and 85,794,141,240 is: 131,871,746,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,816,616,392 : 85,794,141,240 = 85,794,141,240 : x
  2. Step 2: Convert to fraction form
    55,816,616,392/85,794,141,240 = 85,794,141,240/x
  3. Step 3: Cross multiply
    55,816,616,392x = 85,794,141,240 × 85,794,141,240
  4. Step 4: Simplify right side
    55,816,616,392x = 7,360,634,671,109,068,816,384
  5. Step 5: Solve for x
    x = 7,360,634,671,109,068,816,384/55,816,616,392
  6. Step 6: Final answer
    x = 131,871,746,209.33

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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.