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Finding the Third Proportional to 249,309,636,556 and 505,556,604,965

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Solution

The third proportional to 249,309,636,556 and 505,556,604,965 is: 1,025,180,912,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,309,636,556 : 505,556,604,965 = 505,556,604,965 : x
  2. Step 2: Convert to fraction form
    249,309,636,556/505,556,604,965 = 505,556,604,965/x
  3. Step 3: Cross multiply
    249,309,636,556x = 505,556,604,965 × 505,556,604,965
  4. Step 4: Simplify right side
    249,309,636,556x = 255,587,480,823,737,048,104,960
  5. Step 5: Solve for x
    x = 255,587,480,823,737,048,104,960/249,309,636,556
  6. Step 6: Final answer
    x = 1,025,180,912,998.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.