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Finding the Third Proportional to 424,824,322.50 and 656,103,004.50

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Solution

The third proportional to 424,824,322.50 and 656,103,004.50 is: 1,013,292,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,322.50 : 656,103,004.50 = 656,103,004.50 : x
  2. Step 2: Convert to fraction form
    424,824,322.50/656,103,004.50 = 656,103,004.50/x
  3. Step 3: Cross multiply
    424,824,322.50x = 656,103,004.50 × 656,103,004.50
  4. Step 4: Simplify right side
    424,824,322.50x = 430,471,152,513,927,040
  5. Step 5: Solve for x
    x = 430,471,152,513,927,040/424,824,322.50
  6. Step 6: Final answer
    x = 1,013,292,153.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.