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Finding the Third Proportional to 9,262,820,306 and 14,312,592,867

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Solution

The third proportional to 9,262,820,306 and 14,312,592,867 is: 22,115,328,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262,820,306 : 14,312,592,867 = 14,312,592,867 : x
  2. Step 2: Convert to fraction form
    9,262,820,306/14,312,592,867 = 14,312,592,867/x
  3. Step 3: Cross multiply
    9,262,820,306x = 14,312,592,867 × 14,312,592,867
  4. Step 4: Simplify right side
    9,262,820,306x = 204,850,314,576,499,277,824
  5. Step 5: Solve for x
    x = 204,850,314,576,499,277,824/9,262,820,306
  6. Step 6: Final answer
    x = 22,115,328,572.64

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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.