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Finding the Third Proportional to 262,385,075.25 and 607,437,532.13

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Solution

The third proportional to 262,385,075.25 and 607,437,532.13 is: 1,406,255,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,075.25 : 607,437,532.13 = 607,437,532.13 : x
  2. Step 2: Convert to fraction form
    262,385,075.25/607,437,532.13 = 607,437,532.13/x
  3. Step 3: Cross multiply
    262,385,075.25x = 607,437,532.13 × 607,437,532.13
  4. Step 4: Simplify right side
    262,385,075.25x = 368,980,355,434,110,400
  5. Step 5: Solve for x
    x = 368,980,355,434,110,400/262,385,075.25
  6. Step 6: Final answer
    x = 1,406,255,119.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.