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Finding the Third Proportional to 537,982,656 and 852,012,576

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Solution

The third proportional to 537,982,656 and 852,012,576 is: 1,349,347,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,982,656 : 852,012,576 = 852,012,576 : x
  2. Step 2: Convert to fraction form
    537,982,656/852,012,576 = 852,012,576/x
  3. Step 3: Cross multiply
    537,982,656x = 852,012,576 × 852,012,576
  4. Step 4: Simplify right side
    537,982,656x = 725,925,429,662,155,776
  5. Step 5: Solve for x
    x = 725,925,429,662,155,776/537,982,656
  6. Step 6: Final answer
    x = 1,349,347,272.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.