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Finding the Third Proportional to 526,891,594,742 and 710,900,463,122

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Solution

The third proportional to 526,891,594,742 and 710,900,463,122 is: 959,171,627,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,891,594,742 : 710,900,463,122 = 710,900,463,122 : x
  2. Step 2: Convert to fraction form
    526,891,594,742/710,900,463,122 = 710,900,463,122/x
  3. Step 3: Cross multiply
    526,891,594,742x = 710,900,463,122 × 710,900,463,122
  4. Step 4: Simplify right side
    526,891,594,742x = 505,379,468,467,074,110,586,880
  5. Step 5: Solve for x
    x = 505,379,468,467,074,110,586,880/526,891,594,742
  6. Step 6: Final answer
    x = 959,171,627,542.36

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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.