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Finding the Third Proportional to 4,863,837,130 and 9,863,016,242

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Solution

The third proportional to 4,863,837,130 and 9,863,016,242 is: 20,000,482,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,837,130 : 9,863,016,242 = 9,863,016,242 : x
  2. Step 2: Convert to fraction form
    4,863,837,130/9,863,016,242 = 9,863,016,242/x
  3. Step 3: Cross multiply
    4,863,837,130x = 9,863,016,242 × 9,863,016,242
  4. Step 4: Simplify right side
    4,863,837,130x = 97,279,089,389,955,809,280
  5. Step 5: Solve for x
    x = 97,279,089,389,955,809,280/4,863,837,130
  6. Step 6: Final answer
    x = 20,000,482,497.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.