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Finding the Third Proportional to 1,038,902,234 and 2,285,582,853

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Solution

The third proportional to 1,038,902,234 and 2,285,582,853 is: 5,028,277,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,902,234 : 2,285,582,853 = 2,285,582,853 : x
  2. Step 2: Convert to fraction form
    1,038,902,234/2,285,582,853 = 2,285,582,853/x
  3. Step 3: Cross multiply
    1,038,902,234x = 2,285,582,853 × 2,285,582,853
  4. Step 4: Simplify right side
    1,038,902,234x = 5,223,888,977,927,619,584
  5. Step 5: Solve for x
    x = 5,223,888,977,927,619,584/1,038,902,234
  6. Step 6: Final answer
    x = 5,028,277,740.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.