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Finding the Third Proportional to 47,975,901 and 70,164,539

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Solution

The third proportional to 47,975,901 and 70,164,539 is: 102,615,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,901 : 70,164,539 = 70,164,539 : x
  2. Step 2: Convert to fraction form
    47,975,901/70,164,539 = 70,164,539/x
  3. Step 3: Cross multiply
    47,975,901x = 70,164,539 × 70,164,539
  4. Step 4: Simplify right side
    47,975,901x = 4,923,062,533,082,521
  5. Step 5: Solve for x
    x = 4,923,062,533,082,521/47,975,901
  6. Step 6: Final answer
    x = 102,615,322.08

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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.