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Finding the Third Proportional to 13,709,320,872 and 29,852,450,220

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Solution

The third proportional to 13,709,320,872 and 29,852,450,220 is: 65,004,590,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709,320,872 : 29,852,450,220 = 29,852,450,220 : x
  2. Step 2: Convert to fraction form
    13,709,320,872/29,852,450,220 = 29,852,450,220/x
  3. Step 3: Cross multiply
    13,709,320,872x = 29,852,450,220 × 29,852,450,220
  4. Step 4: Simplify right side
    13,709,320,872x = 891,168,784,137,578,086,400
  5. Step 5: Solve for x
    x = 891,168,784,137,578,086,400/13,709,320,872
  6. Step 6: Final answer
    x = 65,004,590,122.16

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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.