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Finding the Third Proportional to 4,748,170,731.75 and 6,984,147,867.75

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Solution

The third proportional to 4,748,170,731.75 and 6,984,147,867.75 is: 10,273,076,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,170,731.75 : 6,984,147,867.75 = 6,984,147,867.75 : x
  2. Step 2: Convert to fraction form
    4,748,170,731.75/6,984,147,867.75 = 6,984,147,867.75/x
  3. Step 3: Cross multiply
    4,748,170,731.75x = 6,984,147,867.75 × 6,984,147,867.75
  4. Step 4: Simplify right side
    4,748,170,731.75x = 48,778,321,438,596,874,240
  5. Step 5: Solve for x
    x = 48,778,321,438,596,874,240/4,748,170,731.75
  6. Step 6: Final answer
    x = 10,273,076,558.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.