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Finding the Third Proportional to 509,537,101.50 and 1,114,453,100.25

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Solution

The third proportional to 509,537,101.50 and 1,114,453,100.25 is: 2,437,517,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,537,101.50 : 1,114,453,100.25 = 1,114,453,100.25 : x
  2. Step 2: Convert to fraction form
    509,537,101.50/1,114,453,100.25 = 1,114,453,100.25/x
  3. Step 3: Cross multiply
    509,537,101.50x = 1,114,453,100.25 × 1,114,453,100.25
  4. Step 4: Simplify right side
    509,537,101.50x = 1,242,005,712,656,836,608
  5. Step 5: Solve for x
    x = 1,242,005,712,656,836,608/509,537,101.50
  6. Step 6: Final answer
    x = 2,437,517,717.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.