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Finding the Third Proportional to 4,077,494,129,043 and 8,833,663,531,854

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Solution

The third proportional to 4,077,494,129,043 and 8,833,663,531,854 is: 19,137,639,178,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,494,129,043 : 8,833,663,531,854 = 8,833,663,531,854 : x
  2. Step 2: Convert to fraction form
    4,077,494,129,043/8,833,663,531,854 = 8,833,663,531,854/x
  3. Step 3: Cross multiply
    4,077,494,129,043x = 8,833,663,531,854 × 8,833,663,531,854
  4. Step 4: Simplify right side
    4,077,494,129,043x = 78,033,611,394,007,289,133,268,992
  5. Step 5: Solve for x
    x = 78,033,611,394,007,289,133,268,992/4,077,494,129,043
  6. Step 6: Final answer
    x = 19,137,639,178,482.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.