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Finding the Third Proportional to 2,031,010,500 and 4,422,585,210

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Solution

The third proportional to 2,031,010,500 and 4,422,585,210 is: 9,630,309,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,010,500 : 4,422,585,210 = 4,422,585,210 : x
  2. Step 2: Convert to fraction form
    2,031,010,500/4,422,585,210 = 4,422,585,210/x
  3. Step 3: Cross multiply
    2,031,010,500x = 4,422,585,210 × 4,422,585,210
  4. Step 4: Simplify right side
    2,031,010,500x = 19,559,259,939,710,742,528
  5. Step 5: Solve for x
    x = 19,559,259,939,710,742,528/2,031,010,500
  6. Step 6: Final answer
    x = 9,630,309,611.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.