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Finding the Third Proportional to 32,178,817,203.19 and 50,223,488,482.69

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Solution

The third proportional to 32,178,817,203.19 and 50,223,488,482.69 is: 78,386,933,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178,817,203.19 : 50,223,488,482.69 = 50,223,488,482.69 : x
  2. Step 2: Convert to fraction form
    32,178,817,203.19/50,223,488,482.69 = 50,223,488,482.69/x
  3. Step 3: Cross multiply
    32,178,817,203.19x = 50,223,488,482.69 × 50,223,488,482.69
  4. Step 4: Simplify right side
    32,178,817,203.19x = 2,522,398,795,370,694,443,008
  5. Step 5: Solve for x
    x = 2,522,398,795,370,694,443,008/32,178,817,203.19
  6. Step 6: Final answer
    x = 78,386,933,225.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.