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Finding the Third Proportional to 4,678,985,116 and 10,276,352,984

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Solution

The third proportional to 4,678,985,116 and 10,276,352,984 is: 22,569,729,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,985,116 : 10,276,352,984 = 10,276,352,984 : x
  2. Step 2: Convert to fraction form
    4,678,985,116/10,276,352,984 = 10,276,352,984/x
  3. Step 3: Cross multiply
    4,678,985,116x = 10,276,352,984 × 10,276,352,984
  4. Step 4: Simplify right side
    4,678,985,116x = 105,603,430,651,765,702,656
  5. Step 5: Solve for x
    x = 105,603,430,651,765,702,656/4,678,985,116
  6. Step 6: Final answer
    x = 22,569,729,980.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.