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Finding the Third Proportional to 568,191,262,924 and 1,236,407,074,798

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Solution

The third proportional to 568,191,262,924 and 1,236,407,074,798 is: 2,690,471,597,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,191,262,924 : 1,236,407,074,798 = 1,236,407,074,798 : x
  2. Step 2: Convert to fraction form
    568,191,262,924/1,236,407,074,798 = 1,236,407,074,798/x
  3. Step 3: Cross multiply
    568,191,262,924x = 1,236,407,074,798 × 1,236,407,074,798
  4. Step 4: Simplify right side
    568,191,262,924x = 1,528,702,454,610,547,196,297,216
  5. Step 5: Solve for x
    x = 1,528,702,454,610,547,196,297,216/568,191,262,924
  6. Step 6: Final answer
    x = 2,690,471,597,087.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.