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Finding the Third Proportional to 994,297,075.50 and 1,495,596,823.50

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Solution

The third proportional to 994,297,075.50 and 1,495,596,823.50 is: 2,249,639,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,297,075.50 : 1,495,596,823.50 = 1,495,596,823.50 : x
  2. Step 2: Convert to fraction form
    994,297,075.50/1,495,596,823.50 = 1,495,596,823.50/x
  3. Step 3: Cross multiply
    994,297,075.50x = 1,495,596,823.50 × 1,495,596,823.50
  4. Step 4: Simplify right side
    994,297,075.50x = 2,236,809,858,463,290,112
  5. Step 5: Solve for x
    x = 2,236,809,858,463,290,112/994,297,075.50
  6. Step 6: Final answer
    x = 2,249,639,382.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.