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Finding the Third Proportional to 2,580,211,724 and 3,984,382,926

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Solution

The third proportional to 2,580,211,724 and 3,984,382,926 is: 6,152,714,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580,211,724 : 3,984,382,926 = 3,984,382,926 : x
  2. Step 2: Convert to fraction form
    2,580,211,724/3,984,382,926 = 3,984,382,926/x
  3. Step 3: Cross multiply
    2,580,211,724x = 3,984,382,926 × 3,984,382,926
  4. Step 4: Simplify right side
    2,580,211,724x = 15,875,307,301,000,321,024
  5. Step 5: Solve for x
    x = 15,875,307,301,000,321,024/2,580,211,724
  6. Step 6: Final answer
    x = 6,152,714,970.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.