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Finding the Third Proportional to 14,046,351,102 and 20,294,551,584

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Solution

The third proportional to 14,046,351,102 and 20,294,551,584 is: 29,322,122,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,351,102 : 20,294,551,584 = 20,294,551,584 : x
  2. Step 2: Convert to fraction form
    14,046,351,102/20,294,551,584 = 20,294,551,584/x
  3. Step 3: Cross multiply
    14,046,351,102x = 20,294,551,584 × 20,294,551,584
  4. Step 4: Simplify right side
    14,046,351,102x = 411,868,823,995,636,908,032
  5. Step 5: Solve for x
    x = 411,868,823,995,636,908,032/14,046,351,102
  6. Step 6: Final answer
    x = 29,322,122,236.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.