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Finding the Third Proportional to 4,457,445 and 9,769,332

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Solution

The third proportional to 4,457,445 and 9,769,332 is: 21,411,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457,445 : 9,769,332 = 9,769,332 : x
  2. Step 2: Convert to fraction form
    4,457,445/9,769,332 = 9,769,332/x
  3. Step 3: Cross multiply
    4,457,445x = 9,769,332 × 9,769,332
  4. Step 4: Simplify right side
    4,457,445x = 95,439,847,726,224
  5. Step 5: Solve for x
    x = 95,439,847,726,224/4,457,445
  6. Step 6: Final answer
    x = 21,411,334.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.