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Finding the Third Proportional to 9,262,820,434.50 and 14,312,593,329

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Solution

The third proportional to 9,262,820,434.50 and 14,312,593,329 is: 22,115,329,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262,820,434.50 : 14,312,593,329 = 14,312,593,329 : x
  2. Step 2: Convert to fraction form
    9,262,820,434.50/14,312,593,329 = 14,312,593,329/x
  3. Step 3: Cross multiply
    9,262,820,434.50x = 14,312,593,329 × 14,312,593,329
  4. Step 4: Simplify right side
    9,262,820,434.50x = 204,850,327,801,335,316,480
  5. Step 5: Solve for x
    x = 204,850,327,801,335,316,480/9,262,820,434.50
  6. Step 6: Final answer
    x = 22,115,329,693.57

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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.