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Finding the Third Proportional to 14,783,489,165,061 and 21,732,384,886,011

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Solution

The third proportional to 14,783,489,165,061 and 21,732,384,886,011 is: 31,947,569,857,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783,489,165,061 : 21,732,384,886,011 = 21,732,384,886,011 : x
  2. Step 2: Convert to fraction form
    14,783,489,165,061/21,732,384,886,011 = 21,732,384,886,011/x
  3. Step 3: Cross multiply
    14,783,489,165,061x = 21,732,384,886,011 × 21,732,384,886,011
  4. Step 4: Simplify right side
    14,783,489,165,061x = 472,296,552,833,719,349,668,741,120
  5. Step 5: Solve for x
    x = 472,296,552,833,719,349,668,741,120/14,783,489,165,061
  6. Step 6: Final answer
    x = 31,947,569,857,184.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.