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Finding the Third Proportional to 358,029,415 and 771,149,359

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Solution

The third proportional to 358,029,415 and 771,149,359 is: 1,660,956,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,029,415 : 771,149,359 = 771,149,359 : x
  2. Step 2: Convert to fraction form
    358,029,415/771,149,359 = 771,149,359/x
  3. Step 3: Cross multiply
    358,029,415x = 771,149,359 × 771,149,359
  4. Step 4: Simplify right side
    358,029,415x = 594,671,333,886,110,848
  5. Step 5: Solve for x
    x = 594,671,333,886,110,848/358,029,415
  6. Step 6: Final answer
    x = 1,660,956,639.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.