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Finding the Third Proportional to 826,603,413 and 1,784,701,466

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Solution

The third proportional to 826,603,413 and 1,784,701,466 is: 3,853,310,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,603,413 : 1,784,701,466 = 1,784,701,466 : x
  2. Step 2: Convert to fraction form
    826,603,413/1,784,701,466 = 1,784,701,466/x
  3. Step 3: Cross multiply
    826,603,413x = 1,784,701,466 × 1,784,701,466
  4. Step 4: Simplify right side
    826,603,413x = 3,185,159,322,742,548,992
  5. Step 5: Solve for x
    x = 3,185,159,322,742,548,992/826,603,413
  6. Step 6: Final answer
    x = 3,853,310,151.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.