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Finding the Third Proportional to 10,081,650,724 and 14,564,990,288

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Solution

The third proportional to 10,081,650,724 and 14,564,990,288 is: 21,042,084,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,650,724 : 14,564,990,288 = 14,564,990,288 : x
  2. Step 2: Convert to fraction form
    10,081,650,724/14,564,990,288 = 14,564,990,288/x
  3. Step 3: Cross multiply
    10,081,650,724x = 14,564,990,288 × 14,564,990,288
  4. Step 4: Simplify right side
    10,081,650,724x = 212,138,942,089,534,308,352
  5. Step 5: Solve for x
    x = 212,138,942,089,534,308,352/10,081,650,724
  6. Step 6: Final answer
    x = 21,042,084,069.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.