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Finding the Third Proportional to 4,242,509,865 and 10,000,775,342.25

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Solution

The third proportional to 4,242,509,865 and 10,000,775,342.25 is: 23,574,608,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,509,865 : 10,000,775,342.25 = 10,000,775,342.25 : x
  2. Step 2: Convert to fraction form
    4,242,509,865/10,000,775,342.25 = 10,000,775,342.25/x
  3. Step 3: Cross multiply
    4,242,509,865x = 10,000,775,342.25 × 10,000,775,342.25
  4. Step 4: Simplify right side
    4,242,509,865x = 100,015,507,446,155,608,064
  5. Step 5: Solve for x
    x = 100,015,507,446,155,608,064/4,242,509,865
  6. Step 6: Final answer
    x = 23,574,608,104.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.