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Finding the Third Proportional to 1,744,876,266,612 and 3,818,448,973,500

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Solution

The third proportional to 1,744,876,266,612 and 3,818,448,973,500 is: 8,356,210,031,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,876,266,612 : 3,818,448,973,500 = 3,818,448,973,500 : x
  2. Step 2: Convert to fraction form
    1,744,876,266,612/3,818,448,973,500 = 3,818,448,973,500/x
  3. Step 3: Cross multiply
    1,744,876,266,612x = 3,818,448,973,500 × 3,818,448,973,500
  4. Step 4: Simplify right side
    1,744,876,266,612x = 14,580,552,563,223,202,996,682,752
  5. Step 5: Solve for x
    x = 14,580,552,563,223,202,996,682,752/1,744,876,266,612
  6. Step 6: Final answer
    x = 8,356,210,031,748.58

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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.