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Finding the Third Proportional to 863,500,047 and 1,326,441,693

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Solution

The third proportional to 863,500,047 and 1,326,441,693 is: 2,037,576,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,500,047 : 1,326,441,693 = 1,326,441,693 : x
  2. Step 2: Convert to fraction form
    863,500,047/1,326,441,693 = 1,326,441,693/x
  3. Step 3: Cross multiply
    863,500,047x = 1,326,441,693 × 1,326,441,693
  4. Step 4: Simplify right side
    863,500,047x = 1,759,447,564,928,706,304
  5. Step 5: Solve for x
    x = 1,759,447,564,928,706,304/863,500,047
  6. Step 6: Final answer
    x = 2,037,576,686.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.