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Finding the Third Proportional to 1,742,649,614,616 and 3,730,100,079,477

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Solution

The third proportional to 1,742,649,614,616 and 3,730,100,079,477 is: 7,984,190,560,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,649,614,616 : 3,730,100,079,477 = 3,730,100,079,477 : x
  2. Step 2: Convert to fraction form
    1,742,649,614,616/3,730,100,079,477 = 3,730,100,079,477/x
  3. Step 3: Cross multiply
    1,742,649,614,616x = 3,730,100,079,477 × 3,730,100,079,477
  4. Step 4: Simplify right side
    1,742,649,614,616x = 13,913,646,602,914,321,114,595,328
  5. Step 5: Solve for x
    x = 13,913,646,602,914,321,114,595,328/1,742,649,614,616
  6. Step 6: Final answer
    x = 7,984,190,560,292.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.