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Finding the Third Proportional to 543,347,901 and 847,306,867.50

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Solution

The third proportional to 543,347,901 and 847,306,867.50 is: 1,321,306,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,347,901 : 847,306,867.50 = 847,306,867.50 : x
  2. Step 2: Convert to fraction form
    543,347,901/847,306,867.50 = 847,306,867.50/x
  3. Step 3: Cross multiply
    543,347,901x = 847,306,867.50 × 847,306,867.50
  4. Step 4: Simplify right side
    543,347,901x = 717,928,927,712,662,528
  5. Step 5: Solve for x
    x = 717,928,927,712,662,528/543,347,901
  6. Step 6: Final answer
    x = 1,321,306,158.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.