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Finding the Third Proportional to 195,401,467,016 and 423,249,577,120

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Solution

The third proportional to 195,401,467,016 and 423,249,577,120 is: 916,780,243,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,401,467,016 : 423,249,577,120 = 423,249,577,120 : x
  2. Step 2: Convert to fraction form
    195,401,467,016/423,249,577,120 = 423,249,577,120/x
  3. Step 3: Cross multiply
    195,401,467,016x = 423,249,577,120 × 423,249,577,120
  4. Step 4: Simplify right side
    195,401,467,016x = 179,140,204,532,258,842,869,760
  5. Step 5: Solve for x
    x = 179,140,204,532,258,842,869,760/195,401,467,016
  6. Step 6: Final answer
    x = 916,780,243,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.