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Finding the Third Proportional to 790,864,448,668 and 1,716,551,227,548

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Solution

The third proportional to 790,864,448,668 and 1,716,551,227,548 is: 3,725,730,903,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,864,448,668 : 1,716,551,227,548 = 1,716,551,227,548 : x
  2. Step 2: Convert to fraction form
    790,864,448,668/1,716,551,227,548 = 1,716,551,227,548/x
  3. Step 3: Cross multiply
    790,864,448,668x = 1,716,551,227,548 × 1,716,551,227,548
  4. Step 4: Simplify right side
    790,864,448,668x = 2,946,548,116,796,545,553,137,664
  5. Step 5: Solve for x
    x = 2,946,548,116,796,545,553,137,664/790,864,448,668
  6. Step 6: Final answer
    x = 3,725,730,903,392.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.