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Finding the Third Proportional to 526,891,436,967 and 710,900,259,702

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Solution

The third proportional to 526,891,436,967 and 710,900,259,702 is: 959,171,365,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,891,436,967 : 710,900,259,702 = 710,900,259,702 : x
  2. Step 2: Convert to fraction form
    526,891,436,967/710,900,259,702 = 710,900,259,702/x
  3. Step 3: Cross multiply
    526,891,436,967x = 710,900,259,702 × 710,900,259,702
  4. Step 4: Simplify right side
    526,891,436,967x = 505,379,179,244,371,065,176,064
  5. Step 5: Solve for x
    x = 505,379,179,244,371,065,176,064/526,891,436,967
  6. Step 6: Final answer
    x = 959,171,365,838.74

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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.