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Finding the Third Proportional to 216,582,735 and 472,853,768

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Solution

The third proportional to 216,582,735 and 472,853,768 is: 1,032,356,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,582,735 : 472,853,768 = 472,853,768 : x
  2. Step 2: Convert to fraction form
    216,582,735/472,853,768 = 472,853,768/x
  3. Step 3: Cross multiply
    216,582,735x = 472,853,768 × 472,853,768
  4. Step 4: Simplify right side
    216,582,735x = 223,590,685,911,797,824
  5. Step 5: Solve for x
    x = 223,590,685,911,797,824/216,582,735
  6. Step 6: Final answer
    x = 1,032,356,923.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.