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Finding the Third Proportional to 358,695,892,768 and 790,505,432,295

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Solution

The third proportional to 358,695,892,768 and 790,505,432,295 is: 1,742,141,047,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,695,892,768 : 790,505,432,295 = 790,505,432,295 : x
  2. Step 2: Convert to fraction form
    358,695,892,768/790,505,432,295 = 790,505,432,295/x
  3. Step 3: Cross multiply
    358,695,892,768x = 790,505,432,295 × 790,505,432,295
  4. Step 4: Simplify right side
    358,695,892,768x = 624,898,838,487,904,852,901,888
  5. Step 5: Solve for x
    x = 624,898,838,487,904,852,901,888/358,695,892,768
  6. Step 6: Final answer
    x = 1,742,141,047,854.38

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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.