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Finding the Third Proportional to 2,010,430,526 and 3,100,432,750

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Solution

The third proportional to 2,010,430,526 and 3,100,432,750 is: 4,781,405,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,526 : 3,100,432,750 = 3,100,432,750 : x
  2. Step 2: Convert to fraction form
    2,010,430,526/3,100,432,750 = 3,100,432,750/x
  3. Step 3: Cross multiply
    2,010,430,526x = 3,100,432,750 × 3,100,432,750
  4. Step 4: Simplify right side
    2,010,430,526x = 9,612,683,237,272,561,664
  5. Step 5: Solve for x
    x = 9,612,683,237,272,561,664/2,010,430,526
  6. Step 6: Final answer
    x = 4,781,405,332.32

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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.