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Finding the Third Proportional to 2,225,018,838 and 4,837,060,140

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Solution

The third proportional to 2,225,018,838 and 4,837,060,140 is: 10,515,484,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,018,838 : 4,837,060,140 = 4,837,060,140 : x
  2. Step 2: Convert to fraction form
    2,225,018,838/4,837,060,140 = 4,837,060,140/x
  3. Step 3: Cross multiply
    2,225,018,838x = 4,837,060,140 × 4,837,060,140
  4. Step 4: Simplify right side
    2,225,018,838x = 23,397,150,797,976,817,664
  5. Step 5: Solve for x
    x = 23,397,150,797,976,817,664/2,225,018,838
  6. Step 6: Final answer
    x = 10,515,484,362.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.