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Finding the Third Proportional to 7,674,612,295,853 and 17,065,158,362,581

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Solution

The third proportional to 7,674,612,295,853 and 17,065,158,362,581 is: 37,945,842,566,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,612,295,853 : 17,065,158,362,581 = 17,065,158,362,581 : x
  2. Step 2: Convert to fraction form
    7,674,612,295,853/17,065,158,362,581 = 17,065,158,362,581/x
  3. Step 3: Cross multiply
    7,674,612,295,853x = 17,065,158,362,581 × 17,065,158,362,581
  4. Step 4: Simplify right side
    7,674,612,295,853x = 291,219,629,939,968,239,665,676,288
  5. Step 5: Solve for x
    x = 291,219,629,939,968,239,665,676,288/7,674,612,295,853
  6. Step 6: Final answer
    x = 37,945,842,566,839.45

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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.