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Finding the Third Proportional to 4,329,029,172 and 6,692,342,466

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Solution

The third proportional to 4,329,029,172 and 6,692,342,466 is: 10,345,841,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329,029,172 : 6,692,342,466 = 6,692,342,466 : x
  2. Step 2: Convert to fraction form
    4,329,029,172/6,692,342,466 = 6,692,342,466/x
  3. Step 3: Cross multiply
    4,329,029,172x = 6,692,342,466 × 6,692,342,466
  4. Step 4: Simplify right side
    4,329,029,172x = 44,787,447,682,226,962,432
  5. Step 5: Solve for x
    x = 44,787,447,682,226,962,432/4,329,029,172
  6. Step 6: Final answer
    x = 10,345,841,042.59

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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.