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Finding the Third Proportional to 2,153,742,458.06 and 4,684,843,018.13

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Solution

The third proportional to 2,153,742,458.06 and 4,684,843,018.13 is: 10,190,519,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,742,458.06 : 4,684,843,018.13 = 4,684,843,018.13 : x
  2. Step 2: Convert to fraction form
    2,153,742,458.06/4,684,843,018.13 = 4,684,843,018.13/x
  3. Step 3: Cross multiply
    2,153,742,458.06x = 4,684,843,018.13 × 4,684,843,018.13
  4. Step 4: Simplify right side
    2,153,742,458.06x = 21,947,754,104,474,558,464
  5. Step 5: Solve for x
    x = 21,947,754,104,474,558,464/2,153,742,458.06
  6. Step 6: Final answer
    x = 10,190,519,308.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.