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Finding the Third Proportional to 7,712,634,942 and 10,861,089,534

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Solution

The third proportional to 7,712,634,942 and 10,861,089,534 is: 15,294,807,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,634,942 : 10,861,089,534 = 10,861,089,534 : x
  2. Step 2: Convert to fraction form
    7,712,634,942/10,861,089,534 = 10,861,089,534/x
  3. Step 3: Cross multiply
    7,712,634,942x = 10,861,089,534 × 10,861,089,534
  4. Step 4: Simplify right side
    7,712,634,942x = 117,963,265,865,564,340,224
  5. Step 5: Solve for x
    x = 117,963,265,865,564,340,224/7,712,634,942
  6. Step 6: Final answer
    x = 15,294,807,384.59

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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.