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Finding the Third Proportional to 308,701,638,536 and 668,688,042,160

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Solution

The third proportional to 308,701,638,536 and 668,688,042,160 is: 1,448,465,579,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,638,536 : 668,688,042,160 = 668,688,042,160 : x
  2. Step 2: Convert to fraction form
    308,701,638,536/668,688,042,160 = 668,688,042,160/x
  3. Step 3: Cross multiply
    308,701,638,536x = 668,688,042,160 × 668,688,042,160
  4. Step 4: Simplify right side
    308,701,638,536x = 447,143,697,727,773,908,926,464
  5. Step 5: Solve for x
    x = 447,143,697,727,773,908,926,464/308,701,638,536
  6. Step 6: Final answer
    x = 1,448,465,579,412.95

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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.