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Finding the Third Proportional to 9,489,216,413 and 19,763,849,466

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Solution

The third proportional to 9,489,216,413 and 19,763,849,466 is: 41,163,540,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489,216,413 : 19,763,849,466 = 19,763,849,466 : x
  2. Step 2: Convert to fraction form
    9,489,216,413/19,763,849,466 = 19,763,849,466/x
  3. Step 3: Cross multiply
    9,489,216,413x = 19,763,849,466 × 19,763,849,466
  4. Step 4: Simplify right side
    9,489,216,413x = 390,609,745,714,708,480,000
  5. Step 5: Solve for x
    x = 390,609,745,714,708,480,000/9,489,216,413
  6. Step 6: Final answer
    x = 41,163,540,667.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.