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Finding the Third Proportional to 354,850,728.19 and 776,596,182.19

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Solution

The third proportional to 354,850,728.19 and 776,596,182.19 is: 1,699,592,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850,728.19 : 776,596,182.19 = 776,596,182.19 : x
  2. Step 2: Convert to fraction form
    354,850,728.19/776,596,182.19 = 776,596,182.19/x
  3. Step 3: Cross multiply
    354,850,728.19x = 776,596,182.19 × 776,596,182.19
  4. Step 4: Simplify right side
    354,850,728.19x = 603,101,630,188,200,704
  5. Step 5: Solve for x
    x = 603,101,630,188,200,704/354,850,728.19
  6. Step 6: Final answer
    x = 1,699,592,482.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.