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Finding the Third Proportional to 909,456,420 and 1,973,276,232

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Solution

The third proportional to 909,456,420 and 1,973,276,232 is: 4,281,479,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,456,420 : 1,973,276,232 = 1,973,276,232 : x
  2. Step 2: Convert to fraction form
    909,456,420/1,973,276,232 = 1,973,276,232/x
  3. Step 3: Cross multiply
    909,456,420x = 1,973,276,232 × 1,973,276,232
  4. Step 4: Simplify right side
    909,456,420x = 3,893,819,087,776,117,760
  5. Step 5: Solve for x
    x = 3,893,819,087,776,117,760/909,456,420
  6. Step 6: Final answer
    x = 4,281,479,576.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.