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Finding the Third Proportional to 437,287,731.75 and 670,547,187

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Solution

The third proportional to 437,287,731.75 and 670,547,187 is: 1,028,232,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,287,731.75 : 670,547,187 = 670,547,187 : x
  2. Step 2: Convert to fraction form
    437,287,731.75/670,547,187 = 670,547,187/x
  3. Step 3: Cross multiply
    437,287,731.75x = 670,547,187 × 670,547,187
  4. Step 4: Simplify right side
    437,287,731.75x = 449,633,529,993,612,992
  5. Step 5: Solve for x
    x = 449,633,529,993,612,992/437,287,731.75
  6. Step 6: Final answer
    x = 1,028,232,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.