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Finding the Third Proportional to 452,413,249,151 and 674,696,598,873

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Solution

The third proportional to 452,413,249,151 and 674,696,598,873 is: 1,006,194,008,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,413,249,151 : 674,696,598,873 = 674,696,598,873 : x
  2. Step 2: Convert to fraction form
    452,413,249,151/674,696,598,873 = 674,696,598,873/x
  3. Step 3: Cross multiply
    452,413,249,151x = 674,696,598,873 × 674,696,598,873
  4. Step 4: Simplify right side
    452,413,249,151x = 455,215,500,530,793,884,680,192
  5. Step 5: Solve for x
    x = 455,215,500,530,793,884,680,192/452,413,249,151
  6. Step 6: Final answer
    x = 1,006,194,008,210.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.