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Finding the Third Proportional to 576,828,719,096 and 847,963,805,884

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Solution

The third proportional to 576,828,719,096 and 847,963,805,884 is: 1,246,544,411,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,828,719,096 : 847,963,805,884 = 847,963,805,884 : x
  2. Step 2: Convert to fraction form
    576,828,719,096/847,963,805,884 = 847,963,805,884/x
  3. Step 3: Cross multiply
    576,828,719,096x = 847,963,805,884 × 847,963,805,884
  4. Step 4: Simplify right side
    576,828,719,096x = 719,042,616,089,278,018,486,272
  5. Step 5: Solve for x
    x = 719,042,616,089,278,018,486,272/576,828,719,096
  6. Step 6: Final answer
    x = 1,246,544,411,339.56

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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.