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Finding the Third Proportional to 12,031,369 and 25,980,332

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Solution

The third proportional to 12,031,369 and 25,980,332 is: 56,101,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,369 : 25,980,332 = 25,980,332 : x
  2. Step 2: Convert to fraction form
    12,031,369/25,980,332 = 25,980,332/x
  3. Step 3: Cross multiply
    12,031,369x = 25,980,332 × 25,980,332
  4. Step 4: Simplify right side
    12,031,369x = 674,977,650,830,224
  5. Step 5: Solve for x
    x = 674,977,650,830,224/12,031,369
  6. Step 6: Final answer
    x = 56,101,483.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.