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Finding the Third Proportional to 30,724,559.53 and 65,831,554.78

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Solution

The third proportional to 30,724,559.53 and 65,831,554.78 is: 141,053,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724,559.53 : 65,831,554.78 = 65,831,554.78 : x
  2. Step 2: Convert to fraction form
    30,724,559.53/65,831,554.78 = 65,831,554.78/x
  3. Step 3: Cross multiply
    30,724,559.53x = 65,831,554.78 × 65,831,554.78
  4. Step 4: Simplify right side
    30,724,559.53x = 4,333,793,604,145,042.50
  5. Step 5: Solve for x
    x = 4,333,793,604,145,042.50/30,724,559.53
  6. Step 6: Final answer
    x = 141,053,075.12

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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.