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Finding the Third Proportional to 8,881,770,312 and 19,748,835,096

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Solution

The third proportional to 8,881,770,312 and 19,748,835,096 is: 43,912,021,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,881,770,312 : 19,748,835,096 = 19,748,835,096 : x
  2. Step 2: Convert to fraction form
    8,881,770,312/19,748,835,096 = 19,748,835,096/x
  3. Step 3: Cross multiply
    8,881,770,312x = 19,748,835,096 × 19,748,835,096
  4. Step 4: Simplify right side
    8,881,770,312x = 390,016,487,649,001,340,928
  5. Step 5: Solve for x
    x = 390,016,487,649,001,340,928/8,881,770,312
  6. Step 6: Final answer
    x = 43,912,021,359.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.