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Finding the Third Proportional to 1,642,571,152 and 3,421,016,240

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Solution

The third proportional to 1,642,571,152 and 3,421,016,240 is: 7,125,019,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,571,152 : 3,421,016,240 = 3,421,016,240 : x
  2. Step 2: Convert to fraction form
    1,642,571,152/3,421,016,240 = 3,421,016,240/x
  3. Step 3: Cross multiply
    1,642,571,152x = 3,421,016,240 × 3,421,016,240
  4. Step 4: Simplify right side
    1,642,571,152x = 11,703,352,114,343,737,344
  5. Step 5: Solve for x
    x = 11,703,352,114,343,737,344/1,642,571,152
  6. Step 6: Final answer
    x = 7,125,019,881.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.