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Finding the Third Proportional to 548,802,913,250 and 1,188,778,742,212

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Solution

The third proportional to 548,802,913,250 and 1,188,778,742,212 is: 2,575,049,920,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,802,913,250 : 1,188,778,742,212 = 1,188,778,742,212 : x
  2. Step 2: Convert to fraction form
    548,802,913,250/1,188,778,742,212 = 1,188,778,742,212/x
  3. Step 3: Cross multiply
    548,802,913,250x = 1,188,778,742,212 × 1,188,778,742,212
  4. Step 4: Simplify right side
    548,802,913,250x = 1,413,194,897,935,144,866,283,520
  5. Step 5: Solve for x
    x = 1,413,194,897,935,144,866,283,520/548,802,913,250
  6. Step 6: Final answer
    x = 2,575,049,920,136.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.