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Finding the Third Proportional to 7,701,057,064 and 16,878,457,226

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Solution

The third proportional to 7,701,057,064 and 16,878,457,226 is: 36,992,625,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701,057,064 : 16,878,457,226 = 16,878,457,226 : x
  2. Step 2: Convert to fraction form
    7,701,057,064/16,878,457,226 = 16,878,457,226/x
  3. Step 3: Cross multiply
    7,701,057,064x = 16,878,457,226 × 16,878,457,226
  4. Step 4: Simplify right side
    7,701,057,064x = 284,882,318,329,911,607,296
  5. Step 5: Solve for x
    x = 284,882,318,329,911,607,296/7,701,057,064
  6. Step 6: Final answer
    x = 36,992,625,293.18

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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.