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Finding the Third Proportional to 7,674,612,295,855 and 17,065,158,362,585

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Solution

The third proportional to 7,674,612,295,855 and 17,065,158,362,585 is: 37,945,842,566,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,612,295,855 : 17,065,158,362,585 = 17,065,158,362,585 : x
  2. Step 2: Convert to fraction form
    7,674,612,295,855/17,065,158,362,585 = 17,065,158,362,585/x
  3. Step 3: Cross multiply
    7,674,612,295,855x = 17,065,158,362,585 × 17,065,158,362,585
  4. Step 4: Simplify right side
    7,674,612,295,855x = 291,219,629,940,104,750,906,212,352
  5. Step 5: Solve for x
    x = 291,219,629,940,104,750,906,212,352/7,674,612,295,855
  6. Step 6: Final answer
    x = 37,945,842,566,847.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.