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Finding the Third Proportional to 576,828,718,617 and 847,963,805,250

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Solution

The third proportional to 576,828,718,617 and 847,963,805,250 is: 1,246,544,410,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,828,718,617 : 847,963,805,250 = 847,963,805,250 : x
  2. Step 2: Convert to fraction form
    576,828,718,617/847,963,805,250 = 847,963,805,250/x
  3. Step 3: Cross multiply
    576,828,718,617x = 847,963,805,250 × 847,963,805,250
  4. Step 4: Simplify right side
    576,828,718,617x = 719,042,615,014,059,933,696,000
  5. Step 5: Solve for x
    x = 719,042,615,014,059,933,696,000/576,828,718,617
  6. Step 6: Final answer
    x = 1,246,544,410,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.