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Finding the Third Proportional to 624,910,696 and 1,360,915,160

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Solution

The third proportional to 624,910,696 and 1,360,915,160 is: 2,963,767,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,910,696 : 1,360,915,160 = 1,360,915,160 : x
  2. Step 2: Convert to fraction form
    624,910,696/1,360,915,160 = 1,360,915,160/x
  3. Step 3: Cross multiply
    624,910,696x = 1,360,915,160 × 1,360,915,160
  4. Step 4: Simplify right side
    624,910,696x = 1,852,090,072,717,825,536
  5. Step 5: Solve for x
    x = 1,852,090,072,717,825,536/624,910,696
  6. Step 6: Final answer
    x = 2,963,767,598.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.