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Finding the Third Proportional to 32,077,685,226 and 66,795,228,264

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Solution

The third proportional to 32,077,685,226 and 66,795,228,264 is: 139,087,421,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077,685,226 : 66,795,228,264 = 66,795,228,264 : x
  2. Step 2: Convert to fraction form
    32,077,685,226/66,795,228,264 = 66,795,228,264/x
  3. Step 3: Cross multiply
    32,077,685,226x = 66,795,228,264 × 66,795,228,264
  4. Step 4: Simplify right side
    32,077,685,226x = 4,461,602,518,839,864,590,336
  5. Step 5: Solve for x
    x = 4,461,602,518,839,864,590,336/32,077,685,226
  6. Step 6: Final answer
    x = 139,087,421,283.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.