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Finding the Third Proportional to 774,706,724 and 1,659,935,534

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Solution

The third proportional to 774,706,724 and 1,659,935,534 is: 3,556,682,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,706,724 : 1,659,935,534 = 1,659,935,534 : x
  2. Step 2: Convert to fraction form
    774,706,724/1,659,935,534 = 1,659,935,534/x
  3. Step 3: Cross multiply
    774,706,724x = 1,659,935,534 × 1,659,935,534
  4. Step 4: Simplify right side
    774,706,724x = 2,755,385,977,035,865,088
  5. Step 5: Solve for x
    x = 2,755,385,977,035,865,088/774,706,724
  6. Step 6: Final answer
    x = 3,556,682,666.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.