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Finding the Third Proportional to 398,742,340,084 and 857,961,319,060

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Solution

The third proportional to 398,742,340,084 and 857,961,319,060 is: 1,846,048,314,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742,340,084 : 857,961,319,060 = 857,961,319,060 : x
  2. Step 2: Convert to fraction form
    398,742,340,084/857,961,319,060 = 857,961,319,060/x
  3. Step 3: Cross multiply
    398,742,340,084x = 857,961,319,060 × 857,961,319,060
  4. Step 4: Simplify right side
    398,742,340,084x = 736,097,625,003,175,163,461,632
  5. Step 5: Solve for x
    x = 736,097,625,003,175,163,461,632/398,742,340,084
  6. Step 6: Final answer
    x = 1,846,048,314,929.65

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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.