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Finding the Third Proportional to 1,429,039,171 and 2,975,516,210

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Solution

The third proportional to 1,429,039,171 and 2,975,516,210 is: 6,195,559,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,039,171 : 2,975,516,210 = 2,975,516,210 : x
  2. Step 2: Convert to fraction form
    1,429,039,171/2,975,516,210 = 2,975,516,210/x
  3. Step 3: Cross multiply
    1,429,039,171x = 2,975,516,210 × 2,975,516,210
  4. Step 4: Simplify right side
    1,429,039,171x = 8,853,696,715,972,763,648
  5. Step 5: Solve for x
    x = 8,853,696,715,972,763,648/1,429,039,171
  6. Step 6: Final answer
    x = 6,195,559,153.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.