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Finding the Third Proportional to 7,701,057,168 and 16,878,457,464

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Solution

The third proportional to 7,701,057,168 and 16,878,457,464 is: 36,992,625,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701,057,168 : 16,878,457,464 = 16,878,457,464 : x
  2. Step 2: Convert to fraction form
    7,701,057,168/16,878,457,464 = 16,878,457,464/x
  3. Step 3: Cross multiply
    7,701,057,168x = 16,878,457,464 × 16,878,457,464
  4. Step 4: Simplify right side
    7,701,057,168x = 284,882,326,364,057,305,088
  5. Step 5: Solve for x
    x = 284,882,326,364,057,305,088/7,701,057,168
  6. Step 6: Final answer
    x = 36,992,625,836.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.