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Finding the Third Proportional to 27,715,419,654 and 64,671,547,407

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Solution

The third proportional to 27,715,419,654 and 64,671,547,407 is: 150,905,492,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,419,654 : 64,671,547,407 = 64,671,547,407 : x
  2. Step 2: Convert to fraction form
    27,715,419,654/64,671,547,407 = 64,671,547,407/x
  3. Step 3: Cross multiply
    27,715,419,654x = 64,671,547,407 × 64,671,547,407
  4. Step 4: Simplify right side
    27,715,419,654x = 4,182,409,044,015,848,620,032
  5. Step 5: Solve for x
    x = 4,182,409,044,015,848,620,032/27,715,419,654
  6. Step 6: Final answer
    x = 150,905,492,185.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.