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Finding the Third Proportional to 8,333,400,196 and 17,812,875,208

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Solution

The third proportional to 8,333,400,196 and 17,812,875,208 is: 38,075,517,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333,400,196 : 17,812,875,208 = 17,812,875,208 : x
  2. Step 2: Convert to fraction form
    8,333,400,196/17,812,875,208 = 17,812,875,208/x
  3. Step 3: Cross multiply
    8,333,400,196x = 17,812,875,208 × 17,812,875,208
  4. Step 4: Simplify right side
    8,333,400,196x = 317,298,523,175,781,072,896
  5. Step 5: Solve for x
    x = 317,298,523,175,781,072,896/8,333,400,196
  6. Step 6: Final answer
    x = 38,075,517,281.42

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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.