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Finding the Third Proportional to 7,712,634,709 and 10,861,089,223

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Solution

The third proportional to 7,712,634,709 and 10,861,089,223 is: 15,294,806,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,634,709 : 10,861,089,223 = 10,861,089,223 : x
  2. Step 2: Convert to fraction form
    7,712,634,709/10,861,089,223 = 10,861,089,223/x
  3. Step 3: Cross multiply
    7,712,634,709x = 10,861,089,223 × 10,861,089,223
  4. Step 4: Simplify right side
    7,712,634,709x = 117,963,259,109,966,741,504
  5. Step 5: Solve for x
    x = 117,963,259,109,966,741,504/7,712,634,709
  6. Step 6: Final answer
    x = 15,294,806,970.74

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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.