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Finding the Third Proportional to 9,302,824,689 and 14,299,083,193.50

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Solution

The third proportional to 9,302,824,689 and 14,299,083,193.50 is: 21,978,677,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302,824,689 : 14,299,083,193.50 = 14,299,083,193.50 : x
  2. Step 2: Convert to fraction form
    9,302,824,689/14,299,083,193.50 = 14,299,083,193.50/x
  3. Step 3: Cross multiply
    9,302,824,689x = 14,299,083,193.50 × 14,299,083,193.50
  4. Step 4: Simplify right side
    9,302,824,689x = 204,463,780,174,634,156,032
  5. Step 5: Solve for x
    x = 204,463,780,174,634,156,032/9,302,824,689
  6. Step 6: Final answer
    x = 21,978,677,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.