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Finding the Third Proportional to 14,388,252,102 and 21,582,376,701

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Solution

The third proportional to 14,388,252,102 and 21,582,376,701 is: 32,373,562,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388,252,102 : 21,582,376,701 = 21,582,376,701 : x
  2. Step 2: Convert to fraction form
    14,388,252,102/21,582,376,701 = 21,582,376,701/x
  3. Step 3: Cross multiply
    14,388,252,102x = 21,582,376,701 × 21,582,376,701
  4. Step 4: Simplify right side
    14,388,252,102x = 465,798,984,063,867,617,280
  5. Step 5: Solve for x
    x = 465,798,984,063,867,617,280/14,388,252,102
  6. Step 6: Final answer
    x = 32,373,562,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.