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Finding the Third Proportional to 944,756,905 and 1,329,846,166

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Solution

The third proportional to 944,756,905 and 1,329,846,166 is: 1,871,900,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,756,905 : 1,329,846,166 = 1,329,846,166 : x
  2. Step 2: Convert to fraction form
    944,756,905/1,329,846,166 = 1,329,846,166/x
  3. Step 3: Cross multiply
    944,756,905x = 1,329,846,166 × 1,329,846,166
  4. Step 4: Simplify right side
    944,756,905x = 1,768,490,825,224,899,584
  5. Step 5: Solve for x
    x = 1,768,490,825,224,899,584/944,756,905
  6. Step 6: Final answer
    x = 1,871,900,396.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.