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Finding the Third Proportional to 714,457,315.75 and 1,538,388,196.75

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Solution

The third proportional to 714,457,315.75 and 1,538,388,196.75 is: 3,312,497,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,457,315.75 : 1,538,388,196.75 = 1,538,388,196.75 : x
  2. Step 2: Convert to fraction form
    714,457,315.75/1,538,388,196.75 = 1,538,388,196.75/x
  3. Step 3: Cross multiply
    714,457,315.75x = 1,538,388,196.75 × 1,538,388,196.75
  4. Step 4: Simplify right side
    714,457,315.75x = 2,366,638,243,899,716,608
  5. Step 5: Solve for x
    x = 2,366,638,243,899,716,608/714,457,315.75
  6. Step 6: Final answer
    x = 3,312,497,740.21

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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.