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Finding the Third Proportional to 15,977,734,248 and 34,736,478,544

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Solution

The third proportional to 15,977,734,248 and 34,736,478,544 is: 75,519,026,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977,734,248 : 34,736,478,544 = 34,736,478,544 : x
  2. Step 2: Convert to fraction form
    15,977,734,248/34,736,478,544 = 34,736,478,544/x
  3. Step 3: Cross multiply
    15,977,734,248x = 34,736,478,544 × 34,736,478,544
  4. Step 4: Simplify right side
    15,977,734,248x = 1,206,622,941,637,772,312,576
  5. Step 5: Solve for x
    x = 1,206,622,941,637,772,312,576/15,977,734,248
  6. Step 6: Final answer
    x = 75,519,026,847.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.