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Finding the Third Proportional to 576,762,858 and 893,642,719.50

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Solution

The third proportional to 576,762,858 and 893,642,719.50 is: 1,384,619,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,762,858 : 893,642,719.50 = 893,642,719.50 : x
  2. Step 2: Convert to fraction form
    576,762,858/893,642,719.50 = 893,642,719.50/x
  3. Step 3: Cross multiply
    576,762,858x = 893,642,719.50 × 893,642,719.50
  4. Step 4: Simplify right side
    576,762,858x = 798,597,310,115,355,648
  5. Step 5: Solve for x
    x = 798,597,310,115,355,648/576,762,858
  6. Step 6: Final answer
    x = 1,384,619,864.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.