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Finding the Third Proportional to 12,280,889,416 and 18,864,948,310

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Solution

The third proportional to 12,280,889,416 and 18,864,948,310 is: 28,978,868,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280,889,416 : 18,864,948,310 = 18,864,948,310 : x
  2. Step 2: Convert to fraction form
    12,280,889,416/18,864,948,310 = 18,864,948,310/x
  3. Step 3: Cross multiply
    12,280,889,416x = 18,864,948,310 × 18,864,948,310
  4. Step 4: Simplify right side
    12,280,889,416x = 355,886,274,738,971,869,184
  5. Step 5: Solve for x
    x = 355,886,274,738,971,869,184/12,280,889,416
  6. Step 6: Final answer
    x = 28,978,868,116.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.