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Finding the Third Proportional to 235,495,641,243 and 513,613,515,155

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Solution

The third proportional to 235,495,641,243 and 513,613,515,155 is: 1,120,185,671,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,495,641,243 : 513,613,515,155 = 513,613,515,155 : x
  2. Step 2: Convert to fraction form
    235,495,641,243/513,613,515,155 = 513,613,515,155/x
  3. Step 3: Cross multiply
    235,495,641,243x = 513,613,515,155 × 513,613,515,155
  4. Step 4: Simplify right side
    235,495,641,243x = 263,798,842,949,875,420,626,944
  5. Step 5: Solve for x
    x = 263,798,842,949,875,420,626,944/235,495,641,243
  6. Step 6: Final answer
    x = 1,120,185,671,197.50

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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.