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Finding the Third Proportional to 9,124,461 and 14,123,457

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Solution

The third proportional to 9,124,461 and 14,123,457 is: 21,861,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124,461 : 14,123,457 = 14,123,457 : x
  2. Step 2: Convert to fraction form
    9,124,461/14,123,457 = 14,123,457/x
  3. Step 3: Cross multiply
    9,124,461x = 14,123,457 × 14,123,457
  4. Step 4: Simplify right side
    9,124,461x = 199,472,037,630,849
  5. Step 5: Solve for x
    x = 199,472,037,630,849/9,124,461
  6. Step 6: Final answer
    x = 21,861,240.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.