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Finding the Third Proportional to 1,837,580,121 and 2,824,492,329

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Solution

The third proportional to 1,837,580,121 and 2,824,492,329 is: 4,341,447,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,580,121 : 2,824,492,329 = 2,824,492,329 : x
  2. Step 2: Convert to fraction form
    1,837,580,121/2,824,492,329 = 2,824,492,329/x
  3. Step 3: Cross multiply
    1,837,580,121x = 2,824,492,329 × 2,824,492,329
  4. Step 4: Simplify right side
    1,837,580,121x = 7,977,756,916,579,844,096
  5. Step 5: Solve for x
    x = 7,977,756,916,579,844,096/1,837,580,121
  6. Step 6: Final answer
    x = 4,341,447,115.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.