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Finding the Third Proportional to 47,708,713,992 and 103,794,932,688

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Solution

The third proportional to 47,708,713,992 and 103,794,932,688 is: 225,815,939,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708,713,992 : 103,794,932,688 = 103,794,932,688 : x
  2. Step 2: Convert to fraction form
    47,708,713,992/103,794,932,688 = 103,794,932,688/x
  3. Step 3: Cross multiply
    47,708,713,992x = 103,794,932,688 × 103,794,932,688
  4. Step 4: Simplify right side
    47,708,713,992x = 10,773,388,051,706,451,853,312
  5. Step 5: Solve for x
    x = 10,773,388,051,706,451,853,312/47,708,713,992
  6. Step 6: Final answer
    x = 225,815,939,065.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.