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Finding the Third Proportional to 56,069,509 and 81,975,583

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Solution

The third proportional to 56,069,509 and 81,975,583 is: 119,851,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,069,509 : 81,975,583 = 81,975,583 : x
  2. Step 2: Convert to fraction form
    56,069,509/81,975,583 = 81,975,583/x
  3. Step 3: Cross multiply
    56,069,509x = 81,975,583 × 81,975,583
  4. Step 4: Simplify right side
    56,069,509x = 6,719,996,208,189,889
  5. Step 5: Solve for x
    x = 6,719,996,208,189,889/56,069,509
  6. Step 6: Final answer
    x = 119,851,169.17

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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.