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Finding the Third Proportional to 500,046,200 and 1,076,895,108

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Solution

The third proportional to 500,046,200 and 1,076,895,108 is: 2,319,191,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,046,200 : 1,076,895,108 = 1,076,895,108 : x
  2. Step 2: Convert to fraction form
    500,046,200/1,076,895,108 = 1,076,895,108/x
  3. Step 3: Cross multiply
    500,046,200x = 1,076,895,108 × 1,076,895,108
  4. Step 4: Simplify right side
    500,046,200x = 1,159,703,073,634,331,648
  5. Step 5: Solve for x
    x = 1,159,703,073,634,331,648/500,046,200
  6. Step 6: Final answer
    x = 2,319,191,853.94

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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.