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Finding the Third Proportional to 543,256,681.50 and 1,176,763,933.69

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Solution

The third proportional to 543,256,681.50 and 1,176,763,933.69 is: 2,549,022,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,256,681.50 : 1,176,763,933.69 = 1,176,763,933.69 : x
  2. Step 2: Convert to fraction form
    543,256,681.50/1,176,763,933.69 = 1,176,763,933.69/x
  3. Step 3: Cross multiply
    543,256,681.50x = 1,176,763,933.69 × 1,176,763,933.69
  4. Step 4: Simplify right side
    543,256,681.50x = 1,384,773,355,627,678,976
  5. Step 5: Solve for x
    x = 1,384,773,355,627,678,976/543,256,681.50
  6. Step 6: Final answer
    x = 2,549,022,226.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.