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Finding the Third Proportional to 4,609,868,157 and 9,918,907,941

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Solution

The third proportional to 4,609,868,157 and 9,918,907,941 is: 21,342,201,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,868,157 : 9,918,907,941 = 9,918,907,941 : x
  2. Step 2: Convert to fraction form
    4,609,868,157/9,918,907,941 = 9,918,907,941/x
  3. Step 3: Cross multiply
    4,609,868,157x = 9,918,907,941 × 9,918,907,941
  4. Step 4: Simplify right side
    4,609,868,157x = 98,384,734,742,032,859,136
  5. Step 5: Solve for x
    x = 98,384,734,742,032,859,136/4,609,868,157
  6. Step 6: Final answer
    x = 21,342,201,423.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.