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Finding the Third Proportional to 4,902,898,004 and 6,879,736,473

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Solution

The third proportional to 4,902,898,004 and 6,879,736,473 is: 9,653,632,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902,898,004 : 6,879,736,473 = 6,879,736,473 : x
  2. Step 2: Convert to fraction form
    4,902,898,004/6,879,736,473 = 6,879,736,473/x
  3. Step 3: Cross multiply
    4,902,898,004x = 6,879,736,473 × 6,879,736,473
  4. Step 4: Simplify right side
    4,902,898,004x = 47,330,773,937,926,479,872
  5. Step 5: Solve for x
    x = 47,330,773,937,926,479,872/4,902,898,004
  6. Step 6: Final answer
    x = 9,653,632,178.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.