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Finding the Third Proportional to 12,779,066,605,686 and 25,913,725,666,713

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Solution

The third proportional to 12,779,066,605,686 and 25,913,725,666,713 is: 52,548,531,019,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779,066,605,686 : 25,913,725,666,713 = 25,913,725,666,713 : x
  2. Step 2: Convert to fraction form
    12,779,066,605,686/25,913,725,666,713 = 25,913,725,666,713/x
  3. Step 3: Cross multiply
    12,779,066,605,686x = 25,913,725,666,713 × 25,913,725,666,713
  4. Step 4: Simplify right side
    12,779,066,605,686x = 671,521,177,929,660,163,264,872,448
  5. Step 5: Solve for x
    x = 671,521,177,929,660,163,264,872,448/12,779,066,605,686
  6. Step 6: Final answer
    x = 52,548,531,019,540.13

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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.