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Finding the Third Proportional to 4,289,383,488 and 9,256,258,752

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Solution

The third proportional to 4,289,383,488 and 9,256,258,752 is: 19,974,508,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,383,488 : 9,256,258,752 = 9,256,258,752 : x
  2. Step 2: Convert to fraction form
    4,289,383,488/9,256,258,752 = 9,256,258,752/x
  3. Step 3: Cross multiply
    4,289,383,488x = 9,256,258,752 × 9,256,258,752
  4. Step 4: Simplify right side
    4,289,383,488x = 85,678,326,083,976,593,408
  5. Step 5: Solve for x
    x = 85,678,326,083,976,593,408/4,289,383,488
  6. Step 6: Final answer
    x = 19,974,508,300.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.