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Finding the Third Proportional to 14,990,071,828 and 23,285,675,784

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Solution

The third proportional to 14,990,071,828 and 23,285,675,784 is: 36,172,121,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,990,071,828 : 23,285,675,784 = 23,285,675,784 : x
  2. Step 2: Convert to fraction form
    14,990,071,828/23,285,675,784 = 23,285,675,784/x
  3. Step 3: Cross multiply
    14,990,071,828x = 23,285,675,784 × 23,285,675,784
  4. Step 4: Simplify right side
    14,990,071,828x = 542,222,696,717,563,985,920
  5. Step 5: Solve for x
    x = 542,222,696,717,563,985,920/14,990,071,828
  6. Step 6: Final answer
    x = 36,172,121,317.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.