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Finding the Third Proportional to 393,048,500.63 and 841,310,975.25

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Solution

The third proportional to 393,048,500.63 and 841,310,975.25 is: 1,800,806,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048,500.63 : 841,310,975.25 = 841,310,975.25 : x
  2. Step 2: Convert to fraction form
    393,048,500.63/841,310,975.25 = 841,310,975.25/x
  3. Step 3: Cross multiply
    393,048,500.63x = 841,310,975.25 × 841,310,975.25
  4. Step 4: Simplify right side
    393,048,500.63x = 707,804,157,076,106,112
  5. Step 5: Solve for x
    x = 707,804,157,076,106,112/393,048,500.63
  6. Step 6: Final answer
    x = 1,800,806,149.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.