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Finding the Third Proportional to 307,735,332 and 649,809,480

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Solution

The third proportional to 307,735,332 and 649,809,480 is: 1,372,128,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735,332 : 649,809,480 = 649,809,480 : x
  2. Step 2: Convert to fraction form
    307,735,332/649,809,480 = 649,809,480/x
  3. Step 3: Cross multiply
    307,735,332x = 649,809,480 × 649,809,480
  4. Step 4: Simplify right side
    307,735,332x = 422,252,360,297,870,400
  5. Step 5: Solve for x
    x = 422,252,360,297,870,400/307,735,332
  6. Step 6: Final answer
    x = 1,372,128,307.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.