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Finding the Third Proportional to 1,051,954,052,416 and 1,626,239,165,928

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Solution

The third proportional to 1,051,954,052,416 and 1,626,239,165,928 is: 2,514,039,295,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,954,052,416 : 1,626,239,165,928 = 1,626,239,165,928 : x
  2. Step 2: Convert to fraction form
    1,051,954,052,416/1,626,239,165,928 = 1,626,239,165,928/x
  3. Step 3: Cross multiply
    1,051,954,052,416x = 1,626,239,165,928 × 1,626,239,165,928
  4. Step 4: Simplify right side
    1,051,954,052,416x = 2,644,653,824,798,197,031,108,608
  5. Step 5: Solve for x
    x = 2,644,653,824,798,197,031,108,608/1,051,954,052,416
  6. Step 6: Final answer
    x = 2,514,039,295,465.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.