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Finding the Third Proportional to 4,513,501,521 and 6,838,510,009.50

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Solution

The third proportional to 4,513,501,521 and 6,838,510,009.50 is: 10,361,183,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513,501,521 : 6,838,510,009.50 = 6,838,510,009.50 : x
  2. Step 2: Convert to fraction form
    4,513,501,521/6,838,510,009.50 = 6,838,510,009.50/x
  3. Step 3: Cross multiply
    4,513,501,521x = 6,838,510,009.50 × 6,838,510,009.50
  4. Step 4: Simplify right side
    4,513,501,521x = 46,765,219,150,031,691,776
  5. Step 5: Solve for x
    x = 46,765,219,150,031,691,776/4,513,501,521
  6. Step 6: Final answer
    x = 10,361,183,868.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.