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Finding the Third Proportional to 2,295,759,203,604 and 4,932,216,463,248

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Solution

The third proportional to 2,295,759,203,604 and 4,932,216,463,248 is: 10,596,389,726,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,759,203,604 : 4,932,216,463,248 = 4,932,216,463,248 : x
  2. Step 2: Convert to fraction form
    2,295,759,203,604/4,932,216,463,248 = 4,932,216,463,248/x
  3. Step 3: Cross multiply
    2,295,759,203,604x = 4,932,216,463,248 × 4,932,216,463,248
  4. Step 4: Simplify right side
    2,295,759,203,604x = 24,326,759,240,334,610,779,865,088
  5. Step 5: Solve for x
    x = 24,326,759,240,334,610,779,865,088/2,295,759,203,604
  6. Step 6: Final answer
    x = 10,596,389,726,825.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.