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Finding the Third Proportional to 503,847,185,587.50 and 1,110,394,473,063

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Solution

The third proportional to 503,847,185,587.50 and 1,110,394,473,063 is: 2,447,122,701,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,185,587.50 : 1,110,394,473,063 = 1,110,394,473,063 : x
  2. Step 2: Convert to fraction form
    503,847,185,587.50/1,110,394,473,063 = 1,110,394,473,063/x
  3. Step 3: Cross multiply
    503,847,185,587.50x = 1,110,394,473,063 × 1,110,394,473,063
  4. Step 4: Simplify right side
    503,847,185,587.50x = 1,232,975,885,808,857,331,531,776
  5. Step 5: Solve for x
    x = 1,232,975,885,808,857,331,531,776/503,847,185,587.50
  6. Step 6: Final answer
    x = 2,447,122,701,243.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.