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Finding the Third Proportional to 424,312,907.63 and 633,856,321.69

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Solution

The third proportional to 424,312,907.63 and 633,856,321.69 is: 946,881,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,312,907.63 : 633,856,321.69 = 633,856,321.69 : x
  2. Step 2: Convert to fraction form
    424,312,907.63/633,856,321.69 = 633,856,321.69/x
  3. Step 3: Cross multiply
    424,312,907.63x = 633,856,321.69 × 633,856,321.69
  4. Step 4: Simplify right side
    424,312,907.63x = 401,773,836,543,207,488
  5. Step 5: Solve for x
    x = 401,773,836,543,207,488/424,312,907.63
  6. Step 6: Final answer
    x = 946,881,014.75

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