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Finding the Third Proportional to 306,619,595,093.25 and 670,943,319,687

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Solution

The third proportional to 306,619,595,093.25 and 670,943,319,687 is: 1,468,154,499,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,619,595,093.25 : 670,943,319,687 = 670,943,319,687 : x
  2. Step 2: Convert to fraction form
    306,619,595,093.25/670,943,319,687 = 670,943,319,687/x
  3. Step 3: Cross multiply
    306,619,595,093.25x = 670,943,319,687 × 670,943,319,687
  4. Step 4: Simplify right side
    306,619,595,093.25x = 450,164,938,232,611,861,430,272
  5. Step 5: Solve for x
    x = 450,164,938,232,611,861,430,272/306,619,595,093.25
  6. Step 6: Final answer
    x = 1,468,154,499,700.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.