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Finding the Third Proportional to 546,482,601 and 845,260,357.50

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Solution

The third proportional to 546,482,601 and 845,260,357.50 is: 1,307,388,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,482,601 : 845,260,357.50 = 845,260,357.50 : x
  2. Step 2: Convert to fraction form
    546,482,601/845,260,357.50 = 845,260,357.50/x
  3. Step 3: Cross multiply
    546,482,601x = 845,260,357.50 × 845,260,357.50
  4. Step 4: Simplify right side
    546,482,601x = 714,465,071,961,027,840
  5. Step 5: Solve for x
    x = 714,465,071,961,027,840/546,482,601
  6. Step 6: Final answer
    x = 1,307,388,507.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.