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Finding the Third Proportional to 3,457,401,710.63 and 7,439,182,050.94

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Solution

The third proportional to 3,457,401,710.63 and 7,439,182,050.94 is: 16,006,653,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,401,710.63 : 7,439,182,050.94 = 7,439,182,050.94 : x
  2. Step 2: Convert to fraction form
    3,457,401,710.63/7,439,182,050.94 = 7,439,182,050.94/x
  3. Step 3: Cross multiply
    3,457,401,710.63x = 7,439,182,050.94 × 7,439,182,050.94
  4. Step 4: Simplify right side
    3,457,401,710.63x = 55,341,429,586,990,669,824
  5. Step 5: Solve for x
    x = 55,341,429,586,990,669,824/3,457,401,710.63
  6. Step 6: Final answer
    x = 16,006,653,035.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.