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Finding the Third Proportional to 3,144,388,054 and 6,730,487,900

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Solution

The third proportional to 3,144,388,054 and 6,730,487,900 is: 14,406,449,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,388,054 : 6,730,487,900 = 6,730,487,900 : x
  2. Step 2: Convert to fraction form
    3,144,388,054/6,730,487,900 = 6,730,487,900/x
  3. Step 3: Cross multiply
    3,144,388,054x = 6,730,487,900 × 6,730,487,900
  4. Step 4: Simplify right side
    3,144,388,054x = 45,299,467,372,046,409,728
  5. Step 5: Solve for x
    x = 45,299,467,372,046,409,728/3,144,388,054
  6. Step 6: Final answer
    x = 14,406,449,393.05

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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.