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Finding the Third Proportional to 9,440,104,894.88 and 14,156,690,932.13

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Solution

The third proportional to 9,440,104,894.88 and 14,156,690,932.13 is: 21,229,838,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440,104,894.88 : 14,156,690,932.13 = 14,156,690,932.13 : x
  2. Step 2: Convert to fraction form
    9,440,104,894.88/14,156,690,932.13 = 14,156,690,932.13/x
  3. Step 3: Cross multiply
    9,440,104,894.88x = 14,156,690,932.13 × 14,156,690,932.13
  4. Step 4: Simplify right side
    9,440,104,894.88x = 200,411,898,147,710,205,952
  5. Step 5: Solve for x
    x = 200,411,898,147,710,205,952/9,440,104,894.88
  6. Step 6: Final answer
    x = 21,229,838,055.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.