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Finding the Third Proportional to 21,806,735,145 and 47,434,235,943

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Solution

The third proportional to 21,806,735,145 and 47,434,235,943 is: 103,179,440,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806,735,145 : 47,434,235,943 = 47,434,235,943 : x
  2. Step 2: Convert to fraction form
    21,806,735,145/47,434,235,943 = 47,434,235,943/x
  3. Step 3: Cross multiply
    21,806,735,145x = 47,434,235,943 × 47,434,235,943
  4. Step 4: Simplify right side
    21,806,735,145x = 2,250,006,739,496,193,228,800
  5. Step 5: Solve for x
    x = 2,250,006,739,496,193,228,800/21,806,735,145
  6. Step 6: Final answer
    x = 103,179,440,871.60

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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.