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Finding the Third Proportional to 3,144,388,060 and 6,730,487,912

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Solution

The third proportional to 3,144,388,060 and 6,730,487,912 is: 14,406,449,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,388,060 : 6,730,487,912 = 6,730,487,912 : x
  2. Step 2: Convert to fraction form
    3,144,388,060/6,730,487,912 = 6,730,487,912/x
  3. Step 3: Cross multiply
    3,144,388,060x = 6,730,487,912 × 6,730,487,912
  4. Step 4: Simplify right side
    3,144,388,060x = 45,299,467,533,578,117,120
  5. Step 5: Solve for x
    x = 45,299,467,533,578,117,120/3,144,388,060
  6. Step 6: Final answer
    x = 14,406,449,416.93

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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.