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Finding the Third Proportional to 2,010,430,542 and 3,100,432,774

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Solution

The third proportional to 2,010,430,542 and 3,100,432,774 is: 4,781,405,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,542 : 3,100,432,774 = 3,100,432,774 : x
  2. Step 2: Convert to fraction form
    2,010,430,542/3,100,432,774 = 3,100,432,774/x
  3. Step 3: Cross multiply
    2,010,430,542x = 3,100,432,774 × 3,100,432,774
  4. Step 4: Simplify right side
    2,010,430,542x = 9,612,683,386,093,334,528
  5. Step 5: Solve for x
    x = 9,612,683,386,093,334,528/2,010,430,542
  6. Step 6: Final answer
    x = 4,781,405,368.29

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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.