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Finding the Third Proportional to 1,165,250,828.50 and 2,496,709,829

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Solution

The third proportional to 1,165,250,828.50 and 2,496,709,829 is: 5,349,543,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,250,828.50 : 2,496,709,829 = 2,496,709,829 : x
  2. Step 2: Convert to fraction form
    1,165,250,828.50/2,496,709,829 = 2,496,709,829/x
  3. Step 3: Cross multiply
    1,165,250,828.50x = 2,496,709,829 × 2,496,709,829
  4. Step 4: Simplify right side
    1,165,250,828.50x = 6,233,559,970,225,209,344
  5. Step 5: Solve for x
    x = 6,233,559,970,225,209,344/1,165,250,828.50
  6. Step 6: Final answer
    x = 5,349,543,478.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.