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Finding the Third Proportional to 2,837,700,152 and 6,630,148,007

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Solution

The third proportional to 2,837,700,152 and 6,630,148,007 is: 15,491,017,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,700,152 : 6,630,148,007 = 6,630,148,007 : x
  2. Step 2: Convert to fraction form
    2,837,700,152/6,630,148,007 = 6,630,148,007/x
  3. Step 3: Cross multiply
    2,837,700,152x = 6,630,148,007 × 6,630,148,007
  4. Step 4: Simplify right side
    2,837,700,152x = 43,958,862,594,726,068,224
  5. Step 5: Solve for x
    x = 43,958,862,594,726,068,224/2,837,700,152
  6. Step 6: Final answer
    x = 15,491,017,457.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.