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Finding the Third Proportional to 466,963,828 and 716,270,878

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Solution

The third proportional to 466,963,828 and 716,270,878 is: 1,098,680,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,963,828 : 716,270,878 = 716,270,878 : x
  2. Step 2: Convert to fraction form
    466,963,828/716,270,878 = 716,270,878/x
  3. Step 3: Cross multiply
    466,963,828x = 716,270,878 × 716,270,878
  4. Step 4: Simplify right side
    466,963,828x = 513,043,970,670,890,880
  5. Step 5: Solve for x
    x = 513,043,970,670,890,880/466,963,828
  6. Step 6: Final answer
    x = 1,098,680,325.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.