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Finding the Third Proportional to 526,891,594,732 and 710,900,463,107

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Solution

The third proportional to 526,891,594,732 and 710,900,463,107 is: 959,171,627,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,891,594,732 : 710,900,463,107 = 710,900,463,107 : x
  2. Step 2: Convert to fraction form
    526,891,594,732/710,900,463,107 = 710,900,463,107/x
  3. Step 3: Cross multiply
    526,891,594,732x = 710,900,463,107 × 710,900,463,107
  4. Step 4: Simplify right side
    526,891,594,732x = 505,379,468,445,747,047,825,408
  5. Step 5: Solve for x
    x = 505,379,468,445,747,047,825,408/526,891,594,732
  6. Step 6: Final answer
    x = 959,171,627,520.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.