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Finding the Third Proportional to 7,969,402,196.50 and 17,440,065,075.50

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Solution

The third proportional to 7,969,402,196.50 and 17,440,065,075.50 is: 38,165,456,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969,402,196.50 : 17,440,065,075.50 = 17,440,065,075.50 : x
  2. Step 2: Convert to fraction form
    7,969,402,196.50/17,440,065,075.50 = 17,440,065,075.50/x
  3. Step 3: Cross multiply
    7,969,402,196.50x = 17,440,065,075.50 × 17,440,065,075.50
  4. Step 4: Simplify right side
    7,969,402,196.50x = 304,155,869,837,674,807,296
  5. Step 5: Solve for x
    x = 304,155,869,837,674,807,296/7,969,402,196.50
  6. Step 6: Final answer
    x = 38,165,456,120.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.