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Finding the Third Proportional to 526,891,594,730 and 710,900,463,104

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Solution

The third proportional to 526,891,594,730 and 710,900,463,104 is: 959,171,627,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,891,594,730 : 710,900,463,104 = 710,900,463,104 : x
  2. Step 2: Convert to fraction form
    526,891,594,730/710,900,463,104 = 710,900,463,104/x
  3. Step 3: Cross multiply
    526,891,594,730x = 710,900,463,104 × 710,900,463,104
  4. Step 4: Simplify right side
    526,891,594,730x = 505,379,468,441,481,675,538,432
  5. Step 5: Solve for x
    x = 505,379,468,441,481,675,538,432/526,891,594,730
  6. Step 6: Final answer
    x = 959,171,627,515.63

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Why These Related Problems?

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