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Finding the Third Proportional to 9,272,709 and 14,184,428

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Solution

The third proportional to 9,272,709 and 14,184,428 is: 21,697,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,709 : 14,184,428 = 14,184,428 : x
  2. Step 2: Convert to fraction form
    9,272,709/14,184,428 = 14,184,428/x
  3. Step 3: Cross multiply
    9,272,709x = 14,184,428 × 14,184,428
  4. Step 4: Simplify right side
    9,272,709x = 201,197,997,687,184
  5. Step 5: Solve for x
    x = 201,197,997,687,184/9,272,709
  6. Step 6: Final answer
    x = 21,697,866.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.