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Finding the Third Proportional to 4,272,640,930,133.20 and 5,764,795,730,832.40

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Solution

The third proportional to 4,272,640,930,133.20 and 5,764,795,730,832.40 is: 7,778,062,879,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,640,930,133.20 : 5,764,795,730,832.40 = 5,764,795,730,832.40 : x
  2. Step 2: Convert to fraction form
    4,272,640,930,133.20/5,764,795,730,832.40 = 5,764,795,730,832.40/x
  3. Step 3: Cross multiply
    4,272,640,930,133.20x = 5,764,795,730,832.40 × 5,764,795,730,832.40
  4. Step 4: Simplify right side
    4,272,640,930,133.20x = 33,232,869,818,223,470,458,175,488
  5. Step 5: Solve for x
    x = 33,232,869,818,223,470,458,175,488/4,272,640,930,133.20
  6. Step 6: Final answer
    x = 7,778,062,879,996.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.