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Finding the Third Proportional to 491,771,299.50 and 747,726,696

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Solution

The third proportional to 491,771,299.50 and 747,726,696 is: 1,136,900,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,771,299.50 : 747,726,696 = 747,726,696 : x
  2. Step 2: Convert to fraction form
    491,771,299.50/747,726,696 = 747,726,696/x
  3. Step 3: Cross multiply
    491,771,299.50x = 747,726,696 × 747,726,696
  4. Step 4: Simplify right side
    491,771,299.50x = 559,095,211,911,076,416
  5. Step 5: Solve for x
    x = 559,095,211,911,076,416/491,771,299.50
  6. Step 6: Final answer
    x = 1,136,900,857.13

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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.