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Finding the Third Proportional to 4,106,011,488 and 8,429,695,104

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Solution

The third proportional to 4,106,011,488 and 8,429,695,104 is: 17,306,273,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,011,488 : 8,429,695,104 = 8,429,695,104 : x
  2. Step 2: Convert to fraction form
    4,106,011,488/8,429,695,104 = 8,429,695,104/x
  3. Step 3: Cross multiply
    4,106,011,488x = 8,429,695,104 × 8,429,695,104
  4. Step 4: Simplify right side
    4,106,011,488x = 71,059,759,546,401,570,816
  5. Step 5: Solve for x
    x = 71,059,759,546,401,570,816/4,106,011,488
  6. Step 6: Final answer
    x = 17,306,273,924.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.