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Finding the Third Proportional to 9,733,312 and 20,724,696

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Solution

The third proportional to 9,733,312 and 20,724,696 is: 44,128,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733,312 : 20,724,696 = 20,724,696 : x
  2. Step 2: Convert to fraction form
    9,733,312/20,724,696 = 20,724,696/x
  3. Step 3: Cross multiply
    9,733,312x = 20,724,696 × 20,724,696
  4. Step 4: Simplify right side
    9,733,312x = 429,513,024,292,416
  5. Step 5: Solve for x
    x = 429,513,024,292,416/9,733,312
  6. Step 6: Final answer
    x = 44,128,147.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.