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Finding the Third Proportional to 3,507,352,725 and 7,632,140,909

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Solution

The third proportional to 3,507,352,725 and 7,632,140,909 is: 16,607,846,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,352,725 : 7,632,140,909 = 7,632,140,909 : x
  2. Step 2: Convert to fraction form
    3,507,352,725/7,632,140,909 = 7,632,140,909/x
  3. Step 3: Cross multiply
    3,507,352,725x = 7,632,140,909 × 7,632,140,909
  4. Step 4: Simplify right side
    3,507,352,725x = 58,249,574,854,831,349,760
  5. Step 5: Solve for x
    x = 58,249,574,854,831,349,760/3,507,352,725
  6. Step 6: Final answer
    x = 16,607,846,265.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.