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Finding the Third Proportional to 8,333,400,192 and 17,812,875,200

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Solution

The third proportional to 8,333,400,192 and 17,812,875,200 is: 38,075,517,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333,400,192 : 17,812,875,200 = 17,812,875,200 : x
  2. Step 2: Convert to fraction form
    8,333,400,192/17,812,875,200 = 17,812,875,200/x
  3. Step 3: Cross multiply
    8,333,400,192x = 17,812,875,200 × 17,812,875,200
  4. Step 4: Simplify right side
    8,333,400,192x = 317,298,522,890,775,035,904
  5. Step 5: Solve for x
    x = 317,298,522,890,775,035,904/8,333,400,192
  6. Step 6: Final answer
    x = 38,075,517,265.50

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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.