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Finding the Third Proportional to 47,492,983.13 and 70,824,294

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Solution

The third proportional to 47,492,983.13 and 70,824,294 is: 105,617,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492,983.13 : 70,824,294 = 70,824,294 : x
  2. Step 2: Convert to fraction form
    47,492,983.13/70,824,294 = 70,824,294/x
  3. Step 3: Cross multiply
    47,492,983.13x = 70,824,294 × 70,824,294
  4. Step 4: Simplify right side
    47,492,983.13x = 5,016,080,620,598,436
  5. Step 5: Solve for x
    x = 5,016,080,620,598,436/47,492,983.13
  6. Step 6: Final answer
    x = 105,617,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.