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Finding the Third Proportional to 147,630,024 and 344,930,364

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Solution

The third proportional to 147,630,024 and 344,930,364 is: 805,913,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,630,024 : 344,930,364 = 344,930,364 : x
  2. Step 2: Convert to fraction form
    147,630,024/344,930,364 = 344,930,364/x
  3. Step 3: Cross multiply
    147,630,024x = 344,930,364 × 344,930,364
  4. Step 4: Simplify right side
    147,630,024x = 118,976,956,009,172,496
  5. Step 5: Solve for x
    x = 118,976,956,009,172,496/147,630,024
  6. Step 6: Final answer
    x = 805,913,003.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.