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Finding the Third Proportional to 551,157,526 and 816,404,548

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Solution

The third proportional to 551,157,526 and 816,404,548 is: 1,209,302,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,157,526 : 816,404,548 = 816,404,548 : x
  2. Step 2: Convert to fraction form
    551,157,526/816,404,548 = 816,404,548/x
  3. Step 3: Cross multiply
    551,157,526x = 816,404,548 × 816,404,548
  4. Step 4: Simplify right side
    551,157,526x = 666,516,385,995,084,288
  5. Step 5: Solve for x
    x = 666,516,385,995,084,288/551,157,526
  6. Step 6: Final answer
    x = 1,209,302,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.