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Finding the Third Proportional to 32,732,001,234 and 70,573,122,126

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Solution

The third proportional to 32,732,001,234 and 70,573,122,126 is: 152,161,963,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732,001,234 : 70,573,122,126 = 70,573,122,126 : x
  2. Step 2: Convert to fraction form
    32,732,001,234/70,573,122,126 = 70,573,122,126/x
  3. Step 3: Cross multiply
    32,732,001,234x = 70,573,122,126 × 70,573,122,126
  4. Step 4: Simplify right side
    32,732,001,234x = 4,980,565,566,611,310,772,224
  5. Step 5: Solve for x
    x = 4,980,565,566,611,310,772,224/32,732,001,234
  6. Step 6: Final answer
    x = 152,161,963,181.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.