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Finding the Third Proportional to 3,506,302,811 and 7,713,857,655

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Solution

The third proportional to 3,506,302,811 and 7,713,857,655 is: 16,970,468,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506,302,811 : 7,713,857,655 = 7,713,857,655 : x
  2. Step 2: Convert to fraction form
    3,506,302,811/7,713,857,655 = 7,713,857,655/x
  3. Step 3: Cross multiply
    3,506,302,811x = 7,713,857,655 × 7,713,857,655
  4. Step 4: Simplify right side
    3,506,302,811x = 59,503,599,921,602,101,248
  5. Step 5: Solve for x
    x = 59,503,599,921,602,101,248/3,506,302,811
  6. Step 6: Final answer
    x = 16,970,468,076.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.