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Finding the Third Proportional to 453,144,420 and 699,734,281.50

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Solution

The third proportional to 453,144,420 and 699,734,281.50 is: 1,080,512,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,420 : 699,734,281.50 = 699,734,281.50 : x
  2. Step 2: Convert to fraction form
    453,144,420/699,734,281.50 = 699,734,281.50/x
  3. Step 3: Cross multiply
    453,144,420x = 699,734,281.50 × 699,734,281.50
  4. Step 4: Simplify right side
    453,144,420x = 489,628,064,706,321,216
  5. Step 5: Solve for x
    x = 489,628,064,706,321,216/453,144,420
  6. Step 6: Final answer
    x = 1,080,512,179.11

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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.