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Finding the Third Proportional to 1,849,874,355 and 4,365,515,715.75

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Solution

The third proportional to 1,849,874,355 and 4,365,515,715.75 is: 10,302,173,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,874,355 : 4,365,515,715.75 = 4,365,515,715.75 : x
  2. Step 2: Convert to fraction form
    1,849,874,355/4,365,515,715.75 = 4,365,515,715.75/x
  3. Step 3: Cross multiply
    1,849,874,355x = 4,365,515,715.75 × 4,365,515,715.75
  4. Step 4: Simplify right side
    1,849,874,355x = 19,057,727,464,460,234,752
  5. Step 5: Solve for x
    x = 19,057,727,464,460,234,752/1,849,874,355
  6. Step 6: Final answer
    x = 10,302,173,989.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.