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Finding the Third Proportional to 658,245,748.50 and 902,614,849.50

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Solution

The third proportional to 658,245,748.50 and 902,614,849.50 is: 1,237,704,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,245,748.50 : 902,614,849.50 = 902,614,849.50 : x
  2. Step 2: Convert to fraction form
    658,245,748.50/902,614,849.50 = 902,614,849.50/x
  3. Step 3: Cross multiply
    658,245,748.50x = 902,614,849.50 × 902,614,849.50
  4. Step 4: Simplify right side
    658,245,748.50x = 814,713,566,537,907,712
  5. Step 5: Solve for x
    x = 814,713,566,537,907,712/658,245,748.50
  6. Step 6: Final answer
    x = 1,237,704,259.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.