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Finding the Third Proportional to 8,881,770,159 and 19,748,834,766

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Solution

The third proportional to 8,881,770,159 and 19,748,834,766 is: 43,912,020,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,881,770,159 : 19,748,834,766 = 19,748,834,766 : x
  2. Step 2: Convert to fraction form
    8,881,770,159/19,748,834,766 = 19,748,834,766/x
  3. Step 3: Cross multiply
    8,881,770,159x = 19,748,834,766 × 19,748,834,766
  4. Step 4: Simplify right side
    8,881,770,159x = 390,016,474,614,770,302,976
  5. Step 5: Solve for x
    x = 390,016,474,614,770,302,976/8,881,770,159
  6. Step 6: Final answer
    x = 43,912,020,648.22

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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.