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Finding the Third Proportional to 4,679,566,242 and 10,164,684,580

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Solution

The third proportional to 4,679,566,242 and 10,164,684,580 is: 22,079,143,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679,566,242 : 10,164,684,580 = 10,164,684,580 : x
  2. Step 2: Convert to fraction form
    4,679,566,242/10,164,684,580 = 10,164,684,580/x
  3. Step 3: Cross multiply
    4,679,566,242x = 10,164,684,580 × 10,164,684,580
  4. Step 4: Simplify right side
    4,679,566,242x = 103,320,812,610,889,777,152
  5. Step 5: Solve for x
    x = 103,320,812,610,889,777,152/4,679,566,242
  6. Step 6: Final answer
    x = 22,079,143,080.31

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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.