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Finding the Third Proportional to 63,365,942,106 and 134,286,583,747

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Solution

The third proportional to 63,365,942,106 and 134,286,583,747 is: 284,583,263,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,365,942,106 : 134,286,583,747 = 134,286,583,747 : x
  2. Step 2: Convert to fraction form
    63,365,942,106/134,286,583,747 = 134,286,583,747/x
  3. Step 3: Cross multiply
    63,365,942,106x = 134,286,583,747 × 134,286,583,747
  4. Step 4: Simplify right side
    63,365,942,106x = 18,032,886,574,440,043,773,952
  5. Step 5: Solve for x
    x = 18,032,886,574,440,043,773,952/63,365,942,106
  6. Step 6: Final answer
    x = 284,583,263,108.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.