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Finding the Third Proportional to 9,908,070,913,952 and 20,098,658,193,489

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Solution

The third proportional to 9,908,070,913,952 and 20,098,658,193,489 is: 40,770,404,722,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908,070,913,952 : 20,098,658,193,489 = 20,098,658,193,489 : x
  2. Step 2: Convert to fraction form
    9,908,070,913,952/20,098,658,193,489 = 20,098,658,193,489/x
  3. Step 3: Cross multiply
    9,908,070,913,952x = 20,098,658,193,489 × 20,098,658,193,489
  4. Step 4: Simplify right side
    9,908,070,913,952x = 403,956,061,178,702,530,932,113,408
  5. Step 5: Solve for x
    x = 403,956,061,178,702,530,932,113,408/9,908,070,913,952
  6. Step 6: Final answer
    x = 40,770,404,722,262.72

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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.