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Finding the Third Proportional to 7,712,634,711 and 10,861,089,226

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Solution

The third proportional to 7,712,634,711 and 10,861,089,226 is: 15,294,806,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,634,711 : 10,861,089,226 = 10,861,089,226 : x
  2. Step 2: Convert to fraction form
    7,712,634,711/10,861,089,226 = 10,861,089,226/x
  3. Step 3: Cross multiply
    7,712,634,711x = 10,861,089,226 × 10,861,089,226
  4. Step 4: Simplify right side
    7,712,634,711x = 117,963,259,175,133,282,304
  5. Step 5: Solve for x
    x = 117,963,259,175,133,282,304/7,712,634,711
  6. Step 6: Final answer
    x = 15,294,806,975.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.