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Finding the Third Proportional to 7,712,634,706.59 and 10,861,089,220.41

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Solution

The third proportional to 7,712,634,706.59 and 10,861,089,220.41 is: 15,294,806,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,634,706.59 : 10,861,089,220.41 = 10,861,089,220.41 : x
  2. Step 2: Convert to fraction form
    7,712,634,706.59/10,861,089,220.41 = 10,861,089,220.41/x
  3. Step 3: Cross multiply
    7,712,634,706.59x = 10,861,089,220.41 × 10,861,089,220.41
  4. Step 4: Simplify right side
    7,712,634,706.59x = 117,963,259,053,619,412,992
  5. Step 5: Solve for x
    x = 117,963,259,053,619,412,992/7,712,634,706.59
  6. Step 6: Final answer
    x = 15,294,806,968.20

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1.5x scale

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.