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Finding the Third Proportional to 1,604,017,420 and 2,552,307,107

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Solution

The third proportional to 1,604,017,420 and 2,552,307,107 is: 4,061,222,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,017,420 : 2,552,307,107 = 2,552,307,107 : x
  2. Step 2: Convert to fraction form
    1,604,017,420/2,552,307,107 = 2,552,307,107/x
  3. Step 3: Cross multiply
    1,604,017,420x = 2,552,307,107 × 2,552,307,107
  4. Step 4: Simplify right side
    1,604,017,420x = 6,514,271,568,442,708,992
  5. Step 5: Solve for x
    x = 6,514,271,568,442,708,992/1,604,017,420
  6. Step 6: Final answer
    x = 4,061,222,457.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.