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Finding the Third Proportional to 2,966,219,142 and 4,039,484,172

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Solution

The third proportional to 2,966,219,142 and 4,039,484,172 is: 5,501,087,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,219,142 : 4,039,484,172 = 4,039,484,172 : x
  2. Step 2: Convert to fraction form
    2,966,219,142/4,039,484,172 = 4,039,484,172/x
  3. Step 3: Cross multiply
    2,966,219,142x = 4,039,484,172 × 4,039,484,172
  4. Step 4: Simplify right side
    2,966,219,142x = 16,317,432,375,838,525,440
  5. Step 5: Solve for x
    x = 16,317,432,375,838,525,440/2,966,219,142
  6. Step 6: Final answer
    x = 5,501,087,948.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.