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Finding the Third Proportional to 3,677,173,506 and 5,159,802,358

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Solution

The third proportional to 3,677,173,506 and 5,159,802,358 is: 7,240,224,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,173,506 : 5,159,802,358 = 5,159,802,358 : x
  2. Step 2: Convert to fraction form
    3,677,173,506/5,159,802,358 = 5,159,802,358/x
  3. Step 3: Cross multiply
    3,677,173,506x = 5,159,802,358 × 5,159,802,358
  4. Step 4: Simplify right side
    3,677,173,506x = 26,623,560,373,622,362,112
  5. Step 5: Solve for x
    x = 26,623,560,373,622,362,112/3,677,173,506
  6. Step 6: Final answer
    x = 7,240,224,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.