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Finding the Third Proportional to 1,283,509,514 and 2,813,076,211

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Solution

The third proportional to 1,283,509,514 and 2,813,076,211 is: 6,165,437,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,509,514 : 2,813,076,211 = 2,813,076,211 : x
  2. Step 2: Convert to fraction form
    1,283,509,514/2,813,076,211 = 2,813,076,211/x
  3. Step 3: Cross multiply
    1,283,509,514x = 2,813,076,211 × 2,813,076,211
  4. Step 4: Simplify right side
    1,283,509,514x = 7,913,397,768,894,116,864
  5. Step 5: Solve for x
    x = 7,913,397,768,894,116,864/1,283,509,514
  6. Step 6: Final answer
    x = 6,165,437,562.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.