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Finding the Third Proportional to 1,200,715,748,991 and 1,829,207,388,136.50

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Solution

The third proportional to 1,200,715,748,991 and 1,829,207,388,136.50 is: 2,786,670,926,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,715,748,991 : 1,829,207,388,136.50 = 1,829,207,388,136.50 : x
  2. Step 2: Convert to fraction form
    1,200,715,748,991/1,829,207,388,136.50 = 1,829,207,388,136.50/x
  3. Step 3: Cross multiply
    1,200,715,748,991x = 1,829,207,388,136.50 × 1,829,207,388,136.50
  4. Step 4: Simplify right side
    1,200,715,748,991x = 3,345,999,668,813,156,128,391,168
  5. Step 5: Solve for x
    x = 3,345,999,668,813,156,128,391,168/1,200,715,748,991
  6. Step 6: Final answer
    x = 2,786,670,926,591.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.