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Finding the Third Proportional to 733,537,893 and 1,097,398,672.50

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Solution

The third proportional to 733,537,893 and 1,097,398,672.50 is: 1,641,747,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,537,893 : 1,097,398,672.50 = 1,097,398,672.50 : x
  2. Step 2: Convert to fraction form
    733,537,893/1,097,398,672.50 = 1,097,398,672.50/x
  3. Step 3: Cross multiply
    733,537,893x = 1,097,398,672.50 × 1,097,398,672.50
  4. Step 4: Simplify right side
    733,537,893x = 1,204,283,846,404,762,368
  5. Step 5: Solve for x
    x = 1,204,283,846,404,762,368/733,537,893
  6. Step 6: Final answer
    x = 1,641,747,287.90

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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.