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Finding the Third Proportional to 452,413,249,164 and 674,696,598,889

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Solution

The third proportional to 452,413,249,164 and 674,696,598,889 is: 1,006,194,008,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,413,249,164 : 674,696,598,889 = 674,696,598,889 : x
  2. Step 2: Convert to fraction form
    452,413,249,164/674,696,598,889 = 674,696,598,889/x
  3. Step 3: Cross multiply
    452,413,249,164x = 674,696,598,889 × 674,696,598,889
  4. Step 4: Simplify right side
    452,413,249,164x = 455,215,500,552,384,148,406,272
  5. Step 5: Solve for x
    x = 455,215,500,552,384,148,406,272/452,413,249,164
  6. Step 6: Final answer
    x = 1,006,194,008,229.34

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