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Finding the Third Proportional to 35,530,612,506 and 79,005,362,838.75

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Solution

The third proportional to 35,530,612,506 and 79,005,362,838.75 is: 175,675,197,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530,612,506 : 79,005,362,838.75 = 79,005,362,838.75 : x
  2. Step 2: Convert to fraction form
    35,530,612,506/79,005,362,838.75 = 79,005,362,838.75/x
  3. Step 3: Cross multiply
    35,530,612,506x = 79,005,362,838.75 × 79,005,362,838.75
  4. Step 4: Simplify right side
    35,530,612,506x = 6,241,847,357,282,539,536,384
  5. Step 5: Solve for x
    x = 6,241,847,357,282,539,536,384/35,530,612,506
  6. Step 6: Final answer
    x = 175,675,197,162.12

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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.