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Finding the Third Proportional to 47,975,857 and 70,164,498

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Solution

The third proportional to 47,975,857 and 70,164,498 is: 102,615,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,857 : 70,164,498 = 70,164,498 : x
  2. Step 2: Convert to fraction form
    47,975,857/70,164,498 = 70,164,498/x
  3. Step 3: Cross multiply
    47,975,857x = 70,164,498 × 70,164,498
  4. Step 4: Simplify right side
    47,975,857x = 4,923,056,779,592,004
  5. Step 5: Solve for x
    x = 4,923,056,779,592,004/47,975,857
  6. Step 6: Final answer
    x = 102,615,296.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.