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Finding the Third Proportional to 5,752,377,556 and 12,378,444,113

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Solution

The third proportional to 5,752,377,556 and 12,378,444,113 is: 26,636,964,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,377,556 : 12,378,444,113 = 12,378,444,113 : x
  2. Step 2: Convert to fraction form
    5,752,377,556/12,378,444,113 = 12,378,444,113/x
  3. Step 3: Cross multiply
    5,752,377,556x = 12,378,444,113 × 12,378,444,113
  4. Step 4: Simplify right side
    5,752,377,556x = 153,225,878,658,664,366,080
  5. Step 5: Solve for x
    x = 153,225,878,658,664,366,080/5,752,377,556
  6. Step 6: Final answer
    x = 26,636,964,831.84

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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.