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Finding the Third Proportional to 31,183,075.50 and 46,507,798.50

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Solution

The third proportional to 31,183,075.50 and 46,507,798.50 is: 69,363,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183,075.50 : 46,507,798.50 = 46,507,798.50 : x
  2. Step 2: Convert to fraction form
    31,183,075.50/46,507,798.50 = 46,507,798.50/x
  3. Step 3: Cross multiply
    31,183,075.50x = 46,507,798.50 × 46,507,798.50
  4. Step 4: Simplify right side
    31,183,075.50x = 2,162,975,321,316,602.25
  5. Step 5: Solve for x
    x = 2,162,975,321,316,602.25/31,183,075.50
  6. Step 6: Final answer
    x = 69,363,758.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.