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Finding the Third Proportional to 662,378,696 and 1,445,069,655

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Solution

The third proportional to 662,378,696 and 1,445,069,655 is: 3,152,616,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,378,696 : 1,445,069,655 = 1,445,069,655 : x
  2. Step 2: Convert to fraction form
    662,378,696/1,445,069,655 = 1,445,069,655/x
  3. Step 3: Cross multiply
    662,378,696x = 1,445,069,655 × 1,445,069,655
  4. Step 4: Simplify right side
    662,378,696x = 2,088,226,307,801,819,136
  5. Step 5: Solve for x
    x = 2,088,226,307,801,819,136/662,378,696
  6. Step 6: Final answer
    x = 3,152,616,955.24

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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.