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Finding the Third Proportional to 46,256,589,352 and 62,411,000,104

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Solution

The third proportional to 46,256,589,352 and 62,411,000,104 is: 84,207,093,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256,589,352 : 62,411,000,104 = 62,411,000,104 : x
  2. Step 2: Convert to fraction form
    46,256,589,352/62,411,000,104 = 62,411,000,104/x
  3. Step 3: Cross multiply
    46,256,589,352x = 62,411,000,104 × 62,411,000,104
  4. Step 4: Simplify right side
    46,256,589,352x = 3,895,132,933,981,488,021,504
  5. Step 5: Solve for x
    x = 3,895,132,933,981,488,021,504/46,256,589,352
  6. Step 6: Final answer
    x = 84,207,093,271.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.