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Finding the Third Proportional to 708,567,633.56 and 997,384,562.16

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Solution

The third proportional to 708,567,633.56 and 997,384,562.16 is: 1,403,925,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,567,633.56 : 997,384,562.16 = 997,384,562.16 : x
  2. Step 2: Convert to fraction form
    708,567,633.56/997,384,562.16 = 997,384,562.16/x
  3. Step 3: Cross multiply
    708,567,633.56x = 997,384,562.16 × 997,384,562.16
  4. Step 4: Simplify right side
    708,567,633.56x = 994,775,964,827,674,496
  5. Step 5: Solve for x
    x = 994,775,964,827,674,496/708,567,633.56
  6. Step 6: Final answer
    x = 1,403,925,211.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.