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Finding the Third Proportional to 37,456,928,411 and 54,118,793,195.50

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Solution

The third proportional to 37,456,928,411 and 54,118,793,195.50 is: 78,192,310,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456,928,411 : 54,118,793,195.50 = 54,118,793,195.50 : x
  2. Step 2: Convert to fraction form
    37,456,928,411/54,118,793,195.50 = 54,118,793,195.50/x
  3. Step 3: Cross multiply
    37,456,928,411x = 54,118,793,195.50 × 54,118,793,195.50
  4. Step 4: Simplify right side
    37,456,928,411x = 2,928,843,776,937,296,920,576
  5. Step 5: Solve for x
    x = 2,928,843,776,937,296,920,576/37,456,928,411
  6. Step 6: Final answer
    x = 78,192,310,506.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.