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Finding the Third Proportional to 15,211,342,596 and 32,516,075,751

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Solution

The third proportional to 15,211,342,596 and 32,516,075,751 is: 69,507,025,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211,342,596 : 32,516,075,751 = 32,516,075,751 : x
  2. Step 2: Convert to fraction form
    15,211,342,596/32,516,075,751 = 32,516,075,751/x
  3. Step 3: Cross multiply
    15,211,342,596x = 32,516,075,751 × 32,516,075,751
  4. Step 4: Simplify right side
    15,211,342,596x = 1,057,295,182,244,770,217,984
  5. Step 5: Solve for x
    x = 1,057,295,182,244,770,217,984/15,211,342,596
  6. Step 6: Final answer
    x = 69,507,025,798.16

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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.