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Finding the Third Proportional to 10,363,623,640 and 22,567,359,920

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Solution

The third proportional to 10,363,623,640 and 22,567,359,920 is: 49,141,666,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,623,640 : 22,567,359,920 = 22,567,359,920 : x
  2. Step 2: Convert to fraction form
    10,363,623,640/22,567,359,920 = 22,567,359,920/x
  3. Step 3: Cross multiply
    10,363,623,640x = 22,567,359,920 × 22,567,359,920
  4. Step 4: Simplify right side
    10,363,623,640x = 509,285,733,758,822,383,616
  5. Step 5: Solve for x
    x = 509,285,733,758,822,383,616/10,363,623,640
  6. Step 6: Final answer
    x = 49,141,666,221.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.