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Finding the Third Proportional to 21,806,735,160 and 47,434,235,973

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Solution

The third proportional to 21,806,735,160 and 47,434,235,973 is: 103,179,440,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806,735,160 : 47,434,235,973 = 47,434,235,973 : x
  2. Step 2: Convert to fraction form
    21,806,735,160/47,434,235,973 = 47,434,235,973/x
  3. Step 3: Cross multiply
    21,806,735,160x = 47,434,235,973 × 47,434,235,973
  4. Step 4: Simplify right side
    21,806,735,160x = 2,250,006,742,342,247,383,040
  5. Step 5: Solve for x
    x = 2,250,006,742,342,247,383,040/21,806,735,160
  6. Step 6: Final answer
    x = 103,179,440,931.14

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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.