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Finding the Third Proportional to 211,610,474,306 and 456,883,576,324

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Solution

The third proportional to 211,610,474,306 and 456,883,576,324 is: 986,447,400,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,610,474,306 : 456,883,576,324 = 456,883,576,324 : x
  2. Step 2: Convert to fraction form
    211,610,474,306/456,883,576,324 = 456,883,576,324/x
  3. Step 3: Cross multiply
    211,610,474,306x = 456,883,576,324 × 456,883,576,324
  4. Step 4: Simplify right side
    211,610,474,306x = 208,742,602,314,608,323,592,192
  5. Step 5: Solve for x
    x = 208,742,602,314,608,323,592,192/211,610,474,306
  6. Step 6: Final answer
    x = 986,447,400,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.