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Finding the Third Proportional to 4,042,255,438.50 and 8,796,301,978.50

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Solution

The third proportional to 4,042,255,438.50 and 8,796,301,978.50 is: 19,141,523,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,255,438.50 : 8,796,301,978.50 = 8,796,301,978.50 : x
  2. Step 2: Convert to fraction form
    4,042,255,438.50/8,796,301,978.50 = 8,796,301,978.50/x
  3. Step 3: Cross multiply
    4,042,255,438.50x = 8,796,301,978.50 × 8,796,301,978.50
  4. Step 4: Simplify right side
    4,042,255,438.50x = 77,374,928,496,963,010,560
  5. Step 5: Solve for x
    x = 77,374,928,496,963,010,560/4,042,255,438.50
  6. Step 6: Final answer
    x = 19,141,523,754.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.