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Finding the Third Proportional to 3,497,048,800 and 5,709,761,440

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Solution

The third proportional to 3,497,048,800 and 5,709,761,440 is: 9,322,539,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,048,800 : 5,709,761,440 = 5,709,761,440 : x
  2. Step 2: Convert to fraction form
    3,497,048,800/5,709,761,440 = 5,709,761,440/x
  3. Step 3: Cross multiply
    3,497,048,800x = 5,709,761,440 × 5,709,761,440
  4. Step 4: Simplify right side
    3,497,048,800x = 32,601,375,701,710,872,576
  5. Step 5: Solve for x
    x = 32,601,375,701,710,872,576/3,497,048,800
  6. Step 6: Final answer
    x = 9,322,539,537.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.