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Finding the Third Proportional to 583,575,733.50 and 1,250,554,491

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Solution

The third proportional to 583,575,733.50 and 1,250,554,491 is: 2,679,834,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,575,733.50 : 1,250,554,491 = 1,250,554,491 : x
  2. Step 2: Convert to fraction form
    583,575,733.50/1,250,554,491 = 1,250,554,491/x
  3. Step 3: Cross multiply
    583,575,733.50x = 1,250,554,491 × 1,250,554,491
  4. Step 4: Simplify right side
    583,575,733.50x = 1,563,886,534,960,269,056
  5. Step 5: Solve for x
    x = 1,563,886,534,960,269,056/583,575,733.50
  6. Step 6: Final answer
    x = 2,679,834,758.69

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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.