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Finding the Third Proportional to 245,796,460.14 and 526,652,405.46

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Solution

The third proportional to 245,796,460.14 and 526,652,405.46 is: 1,128,424,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,796,460.14 : 526,652,405.46 = 526,652,405.46 : x
  2. Step 2: Convert to fraction form
    245,796,460.14/526,652,405.46 = 526,652,405.46/x
  3. Step 3: Cross multiply
    245,796,460.14x = 526,652,405.46 × 526,652,405.46
  4. Step 4: Simplify right side
    245,796,460.14x = 277,362,756,171,643,040
  5. Step 5: Solve for x
    x = 277,362,756,171,643,040/245,796,460.14
  6. Step 6: Final answer
    x = 1,128,424,534.74

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Why These Related Problems?

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