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Finding the Third Proportional to 536,468,086 and 1,173,362,348

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Solution

The third proportional to 536,468,086 and 1,173,362,348 is: 2,566,376,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,468,086 : 1,173,362,348 = 1,173,362,348 : x
  2. Step 2: Convert to fraction form
    536,468,086/1,173,362,348 = 1,173,362,348/x
  3. Step 3: Cross multiply
    536,468,086x = 1,173,362,348 × 1,173,362,348
  4. Step 4: Simplify right side
    536,468,086x = 1,376,779,199,704,073,216
  5. Step 5: Solve for x
    x = 1,376,779,199,704,073,216/536,468,086
  6. Step 6: Final answer
    x = 2,566,376,706.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.