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Finding the Third Proportional to 366,292,996 and 785,759,400

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Solution

The third proportional to 366,292,996 and 785,759,400 is: 1,685,584,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,292,996 : 785,759,400 = 785,759,400 : x
  2. Step 2: Convert to fraction form
    366,292,996/785,759,400 = 785,759,400/x
  3. Step 3: Cross multiply
    366,292,996x = 785,759,400 × 785,759,400
  4. Step 4: Simplify right side
    366,292,996x = 617,417,834,688,359,936
  5. Step 5: Solve for x
    x = 617,417,834,688,359,936/366,292,996
  6. Step 6: Final answer
    x = 1,685,584,604.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.