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Finding the Third Proportional to 1,044,299,866 and 1,566,449,985

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Solution

The third proportional to 1,044,299,866 and 1,566,449,985 is: 2,349,675,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044,299,866 : 1,566,449,985 = 1,566,449,985 : x
  2. Step 2: Convert to fraction form
    1,044,299,866/1,566,449,985 = 1,566,449,985/x
  3. Step 3: Cross multiply
    1,044,299,866x = 1,566,449,985 × 1,566,449,985
  4. Step 4: Simplify right side
    1,044,299,866x = 2,453,765,555,506,500,096
  5. Step 5: Solve for x
    x = 2,453,765,555,506,500,096/1,044,299,866
  6. Step 6: Final answer
    x = 2,349,675,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.