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Finding the Third Proportional to 466,963,830 and 716,270,881

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Solution

The third proportional to 466,963,830 and 716,270,881 is: 1,098,680,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,963,830 : 716,270,881 = 716,270,881 : x
  2. Step 2: Convert to fraction form
    466,963,830/716,270,881 = 716,270,881/x
  3. Step 3: Cross multiply
    466,963,830x = 716,270,881 × 716,270,881
  4. Step 4: Simplify right side
    466,963,830x = 513,043,974,968,516,160
  5. Step 5: Solve for x
    x = 513,043,974,968,516,160/466,963,830
  6. Step 6: Final answer
    x = 1,098,680,330.27

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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.