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Finding the Third Proportional to 239,924,854,126 and 499,708,147,316

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Solution

The third proportional to 239,924,854,126 and 499,708,147,316 is: 1,040,776,844,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,126 : 499,708,147,316 = 499,708,147,316 : x
  2. Step 2: Convert to fraction form
    239,924,854,126/499,708,147,316 = 499,708,147,316/x
  3. Step 3: Cross multiply
    239,924,854,126x = 499,708,147,316 × 499,708,147,316
  4. Step 4: Simplify right side
    239,924,854,126x = 249,708,232,493,989,151,899,648
  5. Step 5: Solve for x
    x = 249,708,232,493,989,151,899,648/239,924,854,126
  6. Step 6: Final answer
    x = 1,040,776,844,081.57

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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.