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Finding the Third Proportional to 249,565,896 and 538,590,744

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Solution

The third proportional to 249,565,896 and 538,590,744 is: 1,162,338,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,565,896 : 538,590,744 = 538,590,744 : x
  2. Step 2: Convert to fraction form
    249,565,896/538,590,744 = 538,590,744/x
  3. Step 3: Cross multiply
    249,565,896x = 538,590,744 × 538,590,744
  4. Step 4: Simplify right side
    249,565,896x = 290,079,989,522,473,536
  5. Step 5: Solve for x
    x = 290,079,989,522,473,536/249,565,896
  6. Step 6: Final answer
    x = 1,162,338,260.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.