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Finding the Third Proportional to 308,701,638,588 and 668,688,042,264

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Solution

The third proportional to 308,701,638,588 and 668,688,042,264 is: 1,448,465,579,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,638,588 : 668,688,042,264 = 668,688,042,264 : x
  2. Step 2: Convert to fraction form
    308,701,638,588/668,688,042,264 = 668,688,042,264/x
  3. Step 3: Cross multiply
    308,701,638,588x = 668,688,042,264 × 668,688,042,264
  4. Step 4: Simplify right side
    308,701,638,588x = 447,143,697,866,861,056,098,304
  5. Step 5: Solve for x
    x = 447,143,697,866,861,056,098,304/308,701,638,588
  6. Step 6: Final answer
    x = 1,448,465,579,619.51

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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.