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Finding the Third Proportional to 2,010,430,509 and 3,100,432,723

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Solution

The third proportional to 2,010,430,509 and 3,100,432,723 is: 4,781,405,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,509 : 3,100,432,723 = 3,100,432,723 : x
  2. Step 2: Convert to fraction form
    2,010,430,509/3,100,432,723 = 3,100,432,723/x
  3. Step 3: Cross multiply
    2,010,430,509x = 3,100,432,723 × 3,100,432,723
  4. Step 4: Simplify right side
    2,010,430,509x = 9,612,683,069,849,194,496
  5. Step 5: Solve for x
    x = 9,612,683,069,849,194,496/2,010,430,509
  6. Step 6: Final answer
    x = 4,781,405,289.47

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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.