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Finding the Third Proportional to 6,717,979,705 and 14,553,828,947

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Solution

The third proportional to 6,717,979,705 and 14,553,828,947 is: 31,529,410,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717,979,705 : 14,553,828,947 = 14,553,828,947 : x
  2. Step 2: Convert to fraction form
    6,717,979,705/14,553,828,947 = 14,553,828,947/x
  3. Step 3: Cross multiply
    6,717,979,705x = 14,553,828,947 × 14,553,828,947
  4. Step 4: Simplify right side
    6,717,979,705x = 211,813,937,018,535,116,800
  5. Step 5: Solve for x
    x = 211,813,937,018,535,116,800/6,717,979,705
  6. Step 6: Final answer
    x = 31,529,410,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.