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Finding the Third Proportional to 565,666,083 and 872,711,682

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Solution

The third proportional to 565,666,083 and 872,711,682 is: 1,346,422,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,666,083 : 872,711,682 = 872,711,682 : x
  2. Step 2: Convert to fraction form
    565,666,083/872,711,682 = 872,711,682/x
  3. Step 3: Cross multiply
    565,666,083x = 872,711,682 × 872,711,682
  4. Step 4: Simplify right side
    565,666,083x = 761,625,679,899,269,120
  5. Step 5: Solve for x
    x = 761,625,679,899,269,120/565,666,083
  6. Step 6: Final answer
    x = 1,346,422,744.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.