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Finding the Third Proportional to 6,214,705,752 and 13,315,853,832

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Solution

The third proportional to 6,214,705,752 and 13,315,853,832 is: 28,531,031,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,705,752 : 13,315,853,832 = 13,315,853,832 : x
  2. Step 2: Convert to fraction form
    6,214,705,752/13,315,853,832 = 13,315,853,832/x
  3. Step 3: Cross multiply
    6,214,705,752x = 13,315,853,832 × 13,315,853,832
  4. Step 4: Simplify right side
    6,214,705,752x = 177,311,963,275,189,092,352
  5. Step 5: Solve for x
    x = 177,311,963,275,189,092,352/6,214,705,752
  6. Step 6: Final answer
    x = 28,531,031,130.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.