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Finding the Third Proportional to 658,245,743.16 and 902,614,841.23

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Solution

The third proportional to 658,245,743.16 and 902,614,841.23 is: 1,237,704,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,245,743.16 : 902,614,841.23 = 902,614,841.23 : x
  2. Step 2: Convert to fraction form
    658,245,743.16/902,614,841.23 = 902,614,841.23/x
  3. Step 3: Cross multiply
    658,245,743.16x = 902,614,841.23 × 902,614,841.23
  4. Step 4: Simplify right side
    658,245,743.16x = 814,713,551,602,466,176
  5. Step 5: Solve for x
    x = 814,713,551,602,466,176/658,245,743.16
  6. Step 6: Final answer
    x = 1,237,704,246.59

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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.