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Finding the Third Proportional to 21,881,070 and 47,615,148

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Solution

The third proportional to 21,881,070 and 47,615,148 is: 103,614,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881,070 : 47,615,148 = 47,615,148 : x
  2. Step 2: Convert to fraction form
    21,881,070/47,615,148 = 47,615,148/x
  3. Step 3: Cross multiply
    21,881,070x = 47,615,148 × 47,615,148
  4. Step 4: Simplify right side
    21,881,070x = 2,267,202,319,061,904
  5. Step 5: Solve for x
    x = 2,267,202,319,061,904/21,881,070
  6. Step 6: Final answer
    x = 103,614,782.96

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Why These Related Problems?

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