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Finding the Third Proportional to 702,522,126,265.50 and 947,867,284,075.50

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Solution

The third proportional to 702,522,126,265.50 and 947,867,284,075.50 is: 1,278,895,503,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,522,126,265.50 : 947,867,284,075.50 = 947,867,284,075.50 : x
  2. Step 2: Convert to fraction form
    702,522,126,265.50/947,867,284,075.50 = 947,867,284,075.50/x
  3. Step 3: Cross multiply
    702,522,126,265.50x = 947,867,284,075.50 × 947,867,284,075.50
  4. Step 4: Simplify right side
    702,522,126,265.50x = 898,452,388,220,664,570,445,824
  5. Step 5: Solve for x
    x = 898,452,388,220,664,570,445,824/702,522,126,265.50
  6. Step 6: Final answer
    x = 1,278,895,503,258.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.