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Finding the Third Proportional to 9,262,820,430 and 14,312,593,323

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Solution

The third proportional to 9,262,820,430 and 14,312,593,323 is: 22,115,329,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262,820,430 : 14,312,593,323 = 14,312,593,323 : x
  2. Step 2: Convert to fraction form
    9,262,820,430/14,312,593,323 = 14,312,593,323/x
  3. Step 3: Cross multiply
    9,262,820,430x = 14,312,593,323 × 14,312,593,323
  4. Step 4: Simplify right side
    9,262,820,430x = 204,850,327,629,584,171,008
  5. Step 5: Solve for x
    x = 204,850,327,629,584,171,008/9,262,820,430
  6. Step 6: Final answer
    x = 22,115,329,685.78

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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.