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Finding the Third Proportional to 4,143,137,168 and 8,877,235,888

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Solution

The third proportional to 4,143,137,168 and 8,877,235,888 is: 19,020,687,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,137,168 : 8,877,235,888 = 8,877,235,888 : x
  2. Step 2: Convert to fraction form
    4,143,137,168/8,877,235,888 = 8,877,235,888/x
  3. Step 3: Cross multiply
    4,143,137,168x = 8,877,235,888 × 8,877,235,888
  4. Step 4: Simplify right side
    4,143,137,168x = 78,805,317,011,195,150,336
  5. Step 5: Solve for x
    x = 78,805,317,011,195,150,336/4,143,137,168
  6. Step 6: Final answer
    x = 19,020,687,420.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.