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Finding the Third Proportional to 1,059,384,920 and 1,653,448,172

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Solution

The third proportional to 1,059,384,920 and 1,653,448,172 is: 2,580,639,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,384,920 : 1,653,448,172 = 1,653,448,172 : x
  2. Step 2: Convert to fraction form
    1,059,384,920/1,653,448,172 = 1,653,448,172/x
  3. Step 3: Cross multiply
    1,059,384,920x = 1,653,448,172 × 1,653,448,172
  4. Step 4: Simplify right side
    1,059,384,920x = 2,733,890,857,490,141,696
  5. Step 5: Solve for x
    x = 2,733,890,857,490,141,696/1,059,384,920
  6. Step 6: Final answer
    x = 2,580,639,771.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.