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Finding the Third Proportional to 560,293,244.25 and 837,351,785.25

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Solution

The third proportional to 560,293,244.25 and 837,351,785.25 is: 1,251,412,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,293,244.25 : 837,351,785.25 = 837,351,785.25 : x
  2. Step 2: Convert to fraction form
    560,293,244.25/837,351,785.25 = 837,351,785.25/x
  3. Step 3: Cross multiply
    560,293,244.25x = 837,351,785.25 × 837,351,785.25
  4. Step 4: Simplify right side
    560,293,244.25x = 701,158,012,261,362,176
  5. Step 5: Solve for x
    x = 701,158,012,261,362,176/560,293,244.25
  6. Step 6: Final answer
    x = 1,251,412,576.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.