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Finding the Third Proportional to 738,567,952 and 1,595,060,014

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Solution

The third proportional to 738,567,952 and 1,595,060,014 is: 3,444,796,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,567,952 : 1,595,060,014 = 1,595,060,014 : x
  2. Step 2: Convert to fraction form
    738,567,952/1,595,060,014 = 1,595,060,014/x
  3. Step 3: Cross multiply
    738,567,952x = 1,595,060,014 × 1,595,060,014
  4. Step 4: Simplify right side
    738,567,952x = 2,544,216,448,261,680,128
  5. Step 5: Solve for x
    x = 2,544,216,448,261,680,128/738,567,952
  6. Step 6: Final answer
    x = 3,444,796,706.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.