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Finding the Third Proportional to 10,271,712 and 24,291,459

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Solution

The third proportional to 10,271,712 and 24,291,459 is: 57,446,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271,712 : 24,291,459 = 24,291,459 : x
  2. Step 2: Convert to fraction form
    10,271,712/24,291,459 = 24,291,459/x
  3. Step 3: Cross multiply
    10,271,712x = 24,291,459 × 24,291,459
  4. Step 4: Simplify right side
    10,271,712x = 590,074,980,348,681
  5. Step 5: Solve for x
    x = 590,074,980,348,681/10,271,712
  6. Step 6: Final answer
    x = 57,446,604.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.