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Finding the Third Proportional to 5,752,377,554 and 12,378,444,109

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Solution

The third proportional to 5,752,377,554 and 12,378,444,109 is: 26,636,964,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,377,554 : 12,378,444,109 = 12,378,444,109 : x
  2. Step 2: Convert to fraction form
    5,752,377,554/12,378,444,109 = 12,378,444,109/x
  3. Step 3: Cross multiply
    5,752,377,554x = 12,378,444,109 × 12,378,444,109
  4. Step 4: Simplify right side
    5,752,377,554x = 153,225,878,559,636,815,872
  5. Step 5: Solve for x
    x = 153,225,878,559,636,815,872/5,752,377,554
  6. Step 6: Final answer
    x = 26,636,964,823.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.