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Finding the Third Proportional to 388,584,548 and 841,739,272

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Solution

The third proportional to 388,584,548 and 841,739,272 is: 1,823,348,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,584,548 : 841,739,272 = 841,739,272 : x
  2. Step 2: Convert to fraction form
    388,584,548/841,739,272 = 841,739,272/x
  3. Step 3: Cross multiply
    388,584,548x = 841,739,272 × 841,739,272
  4. Step 4: Simplify right side
    388,584,548x = 708,525,002,027,089,920
  5. Step 5: Solve for x
    x = 708,525,002,027,089,920/388,584,548
  6. Step 6: Final answer
    x = 1,823,348,369.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.