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Finding the Third Proportional to 7,701,057,223.50 and 16,878,457,545

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Solution

The third proportional to 7,701,057,223.50 and 16,878,457,545 is: 36,992,625,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701,057,223.50 : 16,878,457,545 = 16,878,457,545 : x
  2. Step 2: Convert to fraction form
    7,701,057,223.50/16,878,457,545 = 16,878,457,545/x
  3. Step 3: Cross multiply
    7,701,057,223.50x = 16,878,457,545 × 16,878,457,545
  4. Step 4: Simplify right side
    7,701,057,223.50x = 284,882,329,098,367,434,752
  5. Step 5: Solve for x
    x = 284,882,329,098,367,434,752/7,701,057,223.50
  6. Step 6: Final answer
    x = 36,992,625,925.31

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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.