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Finding the Third Proportional to 4,679,566,248 and 10,164,684,592

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Solution

The third proportional to 4,679,566,248 and 10,164,684,592 is: 22,079,143,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679,566,248 : 10,164,684,592 = 10,164,684,592 : x
  2. Step 2: Convert to fraction form
    4,679,566,248/10,164,684,592 = 10,164,684,592/x
  3. Step 3: Cross multiply
    4,679,566,248x = 10,164,684,592 × 10,164,684,592
  4. Step 4: Simplify right side
    4,679,566,248x = 103,320,812,854,842,212,352
  5. Step 5: Solve for x
    x = 103,320,812,854,842,212,352/4,679,566,248
  6. Step 6: Final answer
    x = 22,079,143,104.13

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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.