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Finding the Third Proportional to 81,455,262,980 and 175,359,426,316

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Solution

The third proportional to 81,455,262,980 and 175,359,426,316 is: 377,519,232,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455,262,980 : 175,359,426,316 = 175,359,426,316 : x
  2. Step 2: Convert to fraction form
    81,455,262,980/175,359,426,316 = 175,359,426,316/x
  3. Step 3: Cross multiply
    81,455,262,980x = 175,359,426,316 × 175,359,426,316
  4. Step 4: Simplify right side
    81,455,262,980x = 30,750,928,397,876,634,583,040
  5. Step 5: Solve for x
    x = 30,750,928,397,876,634,583,040/81,455,262,980
  6. Step 6: Final answer
    x = 377,519,232,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.