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Finding the Third Proportional to 35,077,527,522 and 72,014,621,298.75

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Solution

The third proportional to 35,077,527,522 and 72,014,621,298.75 is: 147,846,956,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,527,522 : 72,014,621,298.75 = 72,014,621,298.75 : x
  2. Step 2: Convert to fraction form
    35,077,527,522/72,014,621,298.75 = 72,014,621,298.75/x
  3. Step 3: Cross multiply
    35,077,527,522x = 72,014,621,298.75 × 72,014,621,298.75
  4. Step 4: Simplify right side
    35,077,527,522x = 5,186,105,680,802,377,367,552
  5. Step 5: Solve for x
    x = 5,186,105,680,802,377,367,552/35,077,527,522
  6. Step 6: Final answer
    x = 147,846,956,361.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.