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Finding the Third Proportional to 248,726,009.29 and 532,392,111.49

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Solution

The third proportional to 248,726,009.29 and 532,392,111.49 is: 1,139,572,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,726,009.29 : 532,392,111.49 = 532,392,111.49 : x
  2. Step 2: Convert to fraction form
    248,726,009.29/532,392,111.49 = 532,392,111.49/x
  3. Step 3: Cross multiply
    248,726,009.29x = 532,392,111.49 × 532,392,111.49
  4. Step 4: Simplify right side
    248,726,009.29x = 283,441,360,379,101,824
  5. Step 5: Solve for x
    x = 283,441,360,379,101,824/248,726,009.29
  6. Step 6: Final answer
    x = 1,139,572,661.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.