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Finding the Third Proportional to 211,610,474,304 and 456,883,576,320

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Solution

The third proportional to 211,610,474,304 and 456,883,576,320 is: 986,447,400,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,610,474,304 : 456,883,576,320 = 456,883,576,320 : x
  2. Step 2: Convert to fraction form
    211,610,474,304/456,883,576,320 = 456,883,576,320/x
  3. Step 3: Cross multiply
    211,610,474,304x = 456,883,576,320 × 456,883,576,320
  4. Step 4: Simplify right side
    211,610,474,304x = 208,742,602,310,953,272,868,864
  5. Step 5: Solve for x
    x = 208,742,602,310,953,272,868,864/211,610,474,304
  6. Step 6: Final answer
    x = 986,447,400,571.83

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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.