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Finding the Third Proportional to 459,493,553,738 and 705,838,358,127

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Solution

The third proportional to 459,493,553,738 and 705,838,358,127 is: 1,084,254,139,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,493,553,738 : 705,838,358,127 = 705,838,358,127 : x
  2. Step 2: Convert to fraction form
    459,493,553,738/705,838,358,127 = 705,838,358,127/x
  3. Step 3: Cross multiply
    459,493,553,738x = 705,838,358,127 × 705,838,358,127
  4. Step 4: Simplify right side
    459,493,553,738x = 498,207,787,803,419,076,460,544
  5. Step 5: Solve for x
    x = 498,207,787,803,419,076,460,544/459,493,553,738
  6. Step 6: Final answer
    x = 1,084,254,139,694.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.