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Finding the Third Proportional to 593,018,787 and 867,698,716.50

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Solution

The third proportional to 593,018,787 and 867,698,716.50 is: 1,269,607,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,018,787 : 867,698,716.50 = 867,698,716.50 : x
  2. Step 2: Convert to fraction form
    593,018,787/867,698,716.50 = 867,698,716.50/x
  3. Step 3: Cross multiply
    593,018,787x = 867,698,716.50 × 867,698,716.50
  4. Step 4: Simplify right side
    593,018,787x = 752,901,062,615,747,328
  5. Step 5: Solve for x
    x = 752,901,062,615,747,328/593,018,787
  6. Step 6: Final answer
    x = 1,269,607,437.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.