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Finding the Third Proportional to 707,459,136 and 1,522,413,696

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Solution

The third proportional to 707,459,136 and 1,522,413,696 is: 3,276,151,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,459,136 : 1,522,413,696 = 1,522,413,696 : x
  2. Step 2: Convert to fraction form
    707,459,136/1,522,413,696 = 1,522,413,696/x
  3. Step 3: Cross multiply
    707,459,136x = 1,522,413,696 × 1,522,413,696
  4. Step 4: Simplify right side
    707,459,136x = 2,317,743,461,768,380,416
  5. Step 5: Solve for x
    x = 2,317,743,461,768,380,416/707,459,136
  6. Step 6: Final answer
    x = 3,276,151,715.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.