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Finding the Third Proportional to 436,069,942.50 and 670,269,577.50

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Solution

The third proportional to 436,069,942.50 and 670,269,577.50 is: 1,030,250,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,069,942.50 : 670,269,577.50 = 670,269,577.50 : x
  2. Step 2: Convert to fraction form
    436,069,942.50/670,269,577.50 = 670,269,577.50/x
  3. Step 3: Cross multiply
    436,069,942.50x = 670,269,577.50 × 670,269,577.50
  4. Step 4: Simplify right side
    436,069,942.50x = 449,261,306,522,028,480
  5. Step 5: Solve for x
    x = 449,261,306,522,028,480/436,069,942.50
  6. Step 6: Final answer
    x = 1,030,250,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.