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Finding the Third Proportional to 973,545,212.25 and 2,094,709,259.25

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Solution

The third proportional to 973,545,212.25 and 2,094,709,259.25 is: 4,507,039,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,545,212.25 : 2,094,709,259.25 = 2,094,709,259.25 : x
  2. Step 2: Convert to fraction form
    973,545,212.25/2,094,709,259.25 = 2,094,709,259.25/x
  3. Step 3: Cross multiply
    973,545,212.25x = 2,094,709,259.25 × 2,094,709,259.25
  4. Step 4: Simplify right side
    973,545,212.25x = 4,387,806,880,787,683,840
  5. Step 5: Solve for x
    x = 4,387,806,880,787,683,840/973,545,212.25
  6. Step 6: Final answer
    x = 4,507,039,658.33

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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.