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Finding the Third Proportional to 3,410,653,060 and 7,421,879,862

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Solution

The third proportional to 3,410,653,060 and 7,421,879,862 is: 16,150,660,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,653,060 : 7,421,879,862 = 7,421,879,862 : x
  2. Step 2: Convert to fraction form
    3,410,653,060/7,421,879,862 = 7,421,879,862/x
  3. Step 3: Cross multiply
    3,410,653,060x = 7,421,879,862 × 7,421,879,862
  4. Step 4: Simplify right side
    3,410,653,060x = 55,084,300,685,961,142,272
  5. Step 5: Solve for x
    x = 55,084,300,685,961,142,272/3,410,653,060
  6. Step 6: Final answer
    x = 16,150,660,802.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.