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Finding the Third Proportional to 249,309,636,558 and 505,556,604,969

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Solution

The third proportional to 249,309,636,558 and 505,556,604,969 is: 1,025,180,913,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,309,636,558 : 505,556,604,969 = 505,556,604,969 : x
  2. Step 2: Convert to fraction form
    249,309,636,558/505,556,604,969 = 505,556,604,969/x
  3. Step 3: Cross multiply
    249,309,636,558x = 505,556,604,969 × 505,556,604,969
  4. Step 4: Simplify right side
    249,309,636,558x = 255,587,480,827,781,531,566,080
  5. Step 5: Solve for x
    x = 255,587,480,827,781,531,566,080/249,309,636,558
  6. Step 6: Final answer
    x = 1,025,180,913,006.23

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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.