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Finding the Third Proportional to 334,899,698,184 and 514,764,847,116

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Solution

The third proportional to 334,899,698,184 and 514,764,847,116 is: 791,230,476,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,899,698,184 : 514,764,847,116 = 514,764,847,116 : x
  2. Step 2: Convert to fraction form
    334,899,698,184/514,764,847,116 = 514,764,847,116/x
  3. Step 3: Cross multiply
    334,899,698,184x = 514,764,847,116 × 514,764,847,116
  4. Step 4: Simplify right side
    334,899,698,184x = 264,982,847,826,358,865,756,160
  5. Step 5: Solve for x
    x = 264,982,847,826,358,865,756,160/334,899,698,184
  6. Step 6: Final answer
    x = 791,230,476,656.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.