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Finding the Third Proportional to 249,309,636,567.75 and 505,556,604,987.75

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Solution

The third proportional to 249,309,636,567.75 and 505,556,604,987.75 is: 1,025,180,913,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,309,636,567.75 : 505,556,604,987.75 = 505,556,604,987.75 : x
  2. Step 2: Convert to fraction form
    249,309,636,567.75/505,556,604,987.75 = 505,556,604,987.75/x
  3. Step 3: Cross multiply
    249,309,636,567.75x = 505,556,604,987.75 × 505,556,604,987.75
  4. Step 4: Simplify right side
    249,309,636,567.75x = 255,587,480,846,739,886,309,376
  5. Step 5: Solve for x
    x = 255,587,480,846,739,886,309,376/249,309,636,567.75
  6. Step 6: Final answer
    x = 1,025,180,913,042.18

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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.