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Finding the Third Proportional to 364,815,291,271 and 784,534,029,390

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Solution

The third proportional to 364,815,291,271 and 784,534,029,390 is: 1,687,137,732,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,815,291,271 : 784,534,029,390 = 784,534,029,390 : x
  2. Step 2: Convert to fraction form
    364,815,291,271/784,534,029,390 = 784,534,029,390/x
  3. Step 3: Cross multiply
    364,815,291,271x = 784,534,029,390 × 784,534,029,390
  4. Step 4: Simplify right side
    364,815,291,271x = 615,493,643,270,909,415,391,232
  5. Step 5: Solve for x
    x = 615,493,643,270,909,415,391,232/364,815,291,271
  6. Step 6: Final answer
    x = 1,687,137,732,430.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.