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Finding the Third Proportional to 715,921,155 and 1,104,525,749.25

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Solution

The third proportional to 715,921,155 and 1,104,525,749.25 is: 1,704,066,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,921,155 : 1,104,525,749.25 = 1,104,525,749.25 : x
  2. Step 2: Convert to fraction form
    715,921,155/1,104,525,749.25 = 1,104,525,749.25/x
  3. Step 3: Cross multiply
    715,921,155x = 1,104,525,749.25 × 1,104,525,749.25
  4. Step 4: Simplify right side
    715,921,155x = 1,219,977,130,756,273,920
  5. Step 5: Solve for x
    x = 1,219,977,130,756,273,920/715,921,155
  6. Step 6: Final answer
    x = 1,704,066,323.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.