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Finding the Third Proportional to 181,630,241,548 and 389,167,556,773

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Solution

The third proportional to 181,630,241,548 and 389,167,556,773 is: 833,844,551,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,630,241,548 : 389,167,556,773 = 389,167,556,773 : x
  2. Step 2: Convert to fraction form
    181,630,241,548/389,167,556,773 = 389,167,556,773/x
  3. Step 3: Cross multiply
    181,630,241,548x = 389,167,556,773 × 389,167,556,773
  4. Step 4: Simplify right side
    181,630,241,548x = 151,451,387,244,666,173,784,064
  5. Step 5: Solve for x
    x = 151,451,387,244,666,173,784,064/181,630,241,548
  6. Step 6: Final answer
    x = 833,844,551,181.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.