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Finding the Third Proportional to 2,210,029,240 and 3,314,232,354

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Solution

The third proportional to 2,210,029,240 and 3,314,232,354 is: 4,970,131,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,029,240 : 3,314,232,354 = 3,314,232,354 : x
  2. Step 2: Convert to fraction form
    2,210,029,240/3,314,232,354 = 3,314,232,354/x
  3. Step 3: Cross multiply
    2,210,029,240x = 3,314,232,354 × 3,314,232,354
  4. Step 4: Simplify right side
    2,210,029,240x = 10,984,136,096,300,382,208
  5. Step 5: Solve for x
    x = 10,984,136,096,300,382,208/2,210,029,240
  6. Step 6: Final answer
    x = 4,970,131,569.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.