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Finding the Third Proportional to 21,485,652,480 and 46,236,479,436

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Solution

The third proportional to 21,485,652,480 and 46,236,479,436 is: 99,499,516,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485,652,480 : 46,236,479,436 = 46,236,479,436 : x
  2. Step 2: Convert to fraction form
    21,485,652,480/46,236,479,436 = 46,236,479,436/x
  3. Step 3: Cross multiply
    21,485,652,480x = 46,236,479,436 × 46,236,479,436
  4. Step 4: Simplify right side
    21,485,652,480x = 2,137,812,030,635,650,842,624
  5. Step 5: Solve for x
    x = 2,137,812,030,635,650,842,624/21,485,652,480
  6. Step 6: Final answer
    x = 99,499,516,369.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.