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Finding the Third Proportional to 9,688,200,772 and 21,210,541,064

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Solution

The third proportional to 9,688,200,772 and 21,210,541,064 is: 46,436,594,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688,200,772 : 21,210,541,064 = 21,210,541,064 : x
  2. Step 2: Convert to fraction form
    9,688,200,772/21,210,541,064 = 21,210,541,064/x
  3. Step 3: Cross multiply
    9,688,200,772x = 21,210,541,064 × 21,210,541,064
  4. Step 4: Simplify right side
    9,688,200,772x = 449,887,052,227,630,268,416
  5. Step 5: Solve for x
    x = 449,887,052,227,630,268,416/9,688,200,772
  6. Step 6: Final answer
    x = 46,436,594,659.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.