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Finding the Third Proportional to 577,013,404 and 1,360,757,946

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Solution

The third proportional to 577,013,404 and 1,360,757,946 is: 3,209,045,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,013,404 : 1,360,757,946 = 1,360,757,946 : x
  2. Step 2: Convert to fraction form
    577,013,404/1,360,757,946 = 1,360,757,946/x
  3. Step 3: Cross multiply
    577,013,404x = 1,360,757,946 × 1,360,757,946
  4. Step 4: Simplify right side
    577,013,404x = 1,851,662,187,602,138,880
  5. Step 5: Solve for x
    x = 1,851,662,187,602,138,880/577,013,404
  6. Step 6: Final answer
    x = 3,209,045,361.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.