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Finding the Third Proportional to 5,692,423 and 12,492,332

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Solution

The third proportional to 5,692,423 and 12,492,332 is: 27,415,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,423 : 12,492,332 = 12,492,332 : x
  2. Step 2: Convert to fraction form
    5,692,423/12,492,332 = 12,492,332/x
  3. Step 3: Cross multiply
    5,692,423x = 12,492,332 × 12,492,332
  4. Step 4: Simplify right side
    5,692,423x = 156,058,358,798,224
  5. Step 5: Solve for x
    x = 156,058,358,798,224/5,692,423
  6. Step 6: Final answer
    x = 27,415,102.29

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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.