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Finding the Third Proportional to 358,695,892,756 and 790,505,432,270

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Solution

The third proportional to 358,695,892,756 and 790,505,432,270 is: 1,742,141,047,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,695,892,756 : 790,505,432,270 = 790,505,432,270 : x
  2. Step 2: Convert to fraction form
    358,695,892,756/790,505,432,270 = 790,505,432,270/x
  3. Step 3: Cross multiply
    358,695,892,756x = 790,505,432,270 × 790,505,432,270
  4. Step 4: Simplify right side
    358,695,892,756x = 624,898,838,448,379,611,054,080
  5. Step 5: Solve for x
    x = 624,898,838,448,379,611,054,080/358,695,892,756
  6. Step 6: Final answer
    x = 1,742,141,047,802.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.