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Finding the Third Proportional to 4,441,502,681.44 and 6,899,459,375.81

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Solution

The third proportional to 4,441,502,681.44 and 6,899,459,375.81 is: 10,717,665,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,502,681.44 : 6,899,459,375.81 = 6,899,459,375.81 : x
  2. Step 2: Convert to fraction form
    4,441,502,681.44/6,899,459,375.81 = 6,899,459,375.81/x
  3. Step 3: Cross multiply
    4,441,502,681.44x = 6,899,459,375.81 × 6,899,459,375.81
  4. Step 4: Simplify right side
    4,441,502,681.44x = 47,602,539,678,485,626,880
  5. Step 5: Solve for x
    x = 47,602,539,678,485,626,880/4,441,502,681.44
  6. Step 6: Final answer
    x = 10,717,665,414.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.