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Finding the Third Proportional to 2,885,532,960 and 6,302,329,690

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Solution

The third proportional to 2,885,532,960 and 6,302,329,690 is: 13,764,999,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,532,960 : 6,302,329,690 = 6,302,329,690 : x
  2. Step 2: Convert to fraction form
    2,885,532,960/6,302,329,690 = 6,302,329,690/x
  3. Step 3: Cross multiply
    2,885,532,960x = 6,302,329,690 × 6,302,329,690
  4. Step 4: Simplify right side
    2,885,532,960x = 39,719,359,521,455,497,216
  5. Step 5: Solve for x
    x = 39,719,359,521,455,497,216/2,885,532,960
  6. Step 6: Final answer
    x = 13,764,999,420.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.