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Finding the Third Proportional to 531,821,232 and 816,942,528

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Solution

The third proportional to 531,821,232 and 816,942,528 is: 1,254,923,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,821,232 : 816,942,528 = 816,942,528 : x
  2. Step 2: Convert to fraction form
    531,821,232/816,942,528 = 816,942,528/x
  3. Step 3: Cross multiply
    531,821,232x = 816,942,528 × 816,942,528
  4. Step 4: Simplify right side
    531,821,232x = 667,395,094,055,030,784
  5. Step 5: Solve for x
    x = 667,395,094,055,030,784/531,821,232
  6. Step 6: Final answer
    x = 1,254,923,748.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.