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Finding the Third Proportional to 6,663,690,496,018 and 13,514,748,794,504

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Solution

The third proportional to 6,663,690,496,018 and 13,514,748,794,504 is: 27,409,501,549,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663,690,496,018 : 13,514,748,794,504 = 13,514,748,794,504 : x
  2. Step 2: Convert to fraction form
    6,663,690,496,018/13,514,748,794,504 = 13,514,748,794,504/x
  3. Step 3: Cross multiply
    6,663,690,496,018x = 13,514,748,794,504 × 13,514,748,794,504
  4. Step 4: Simplify right side
    6,663,690,496,018x = 182,648,434,978,547,319,479,205,888
  5. Step 5: Solve for x
    x = 182,648,434,978,547,319,479,205,888/6,663,690,496,018
  6. Step 6: Final answer
    x = 27,409,501,549,883.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.