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Finding the Third Proportional to 1,604,016,577 and 2,552,305,641

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Solution

The third proportional to 1,604,016,577 and 2,552,305,641 is: 4,061,219,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,016,577 : 2,552,305,641 = 2,552,305,641 : x
  2. Step 2: Convert to fraction form
    1,604,016,577/2,552,305,641 = 2,552,305,641/x
  3. Step 3: Cross multiply
    1,604,016,577x = 2,552,305,641 × 2,552,305,641
  4. Step 4: Simplify right side
    1,604,016,577x = 6,514,264,085,080,421,376
  5. Step 5: Solve for x
    x = 6,514,264,085,080,421,376/1,604,016,577
  6. Step 6: Final answer
    x = 4,061,219,926.58

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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.