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Finding the Third Proportional to 242,897,682 and 528,922,992

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Solution

The third proportional to 242,897,682 and 528,922,992 is: 1,151,758,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,897,682 : 528,922,992 = 528,922,992 : x
  2. Step 2: Convert to fraction form
    242,897,682/528,922,992 = 528,922,992/x
  3. Step 3: Cross multiply
    242,897,682x = 528,922,992 × 528,922,992
  4. Step 4: Simplify right side
    242,897,682x = 279,759,531,466,232,064
  5. Step 5: Solve for x
    x = 279,759,531,466,232,064/242,897,682
  6. Step 6: Final answer
    x = 1,151,758,753.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.