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Finding the Third Proportional to 407,656,424.11 and 623,340,773.23

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Solution

The third proportional to 407,656,424.11 and 623,340,773.23 is: 953,140,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,656,424.11 : 623,340,773.23 = 623,340,773.23 : x
  2. Step 2: Convert to fraction form
    407,656,424.11/623,340,773.23 = 623,340,773.23/x
  3. Step 3: Cross multiply
    407,656,424.11x = 623,340,773.23 × 623,340,773.23
  4. Step 4: Simplify right side
    407,656,424.11x = 388,553,719,566,698,176
  5. Step 5: Solve for x
    x = 388,553,719,566,698,176/407,656,424.11
  6. Step 6: Final answer
    x = 953,140,185.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.