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Finding the Third Proportional to 6,549,407,752 and 14,246,339,463

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Solution

The third proportional to 6,549,407,752 and 14,246,339,463 is: 30,988,784,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549,407,752 : 14,246,339,463 = 14,246,339,463 : x
  2. Step 2: Convert to fraction form
    6,549,407,752/14,246,339,463 = 14,246,339,463/x
  3. Step 3: Cross multiply
    6,549,407,752x = 14,246,339,463 × 14,246,339,463
  4. Step 4: Simplify right side
    6,549,407,752x = 202,958,188,095,031,115,776
  5. Step 5: Solve for x
    x = 202,958,188,095,031,115,776/6,549,407,752
  6. Step 6: Final answer
    x = 30,988,784,907.01

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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.