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Finding the Third Proportional to 452,413,249,145 and 674,696,598,864

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Solution

The third proportional to 452,413,249,145 and 674,696,598,864 is: 1,006,194,008,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,413,249,145 : 674,696,598,864 = 674,696,598,864 : x
  2. Step 2: Convert to fraction form
    452,413,249,145/674,696,598,864 = 674,696,598,864/x
  3. Step 3: Cross multiply
    452,413,249,145x = 674,696,598,864 × 674,696,598,864
  4. Step 4: Simplify right side
    452,413,249,145x = 455,215,500,518,649,327,779,840
  5. Step 5: Solve for x
    x = 455,215,500,518,649,327,779,840/452,413,249,145
  6. Step 6: Final answer
    x = 1,006,194,008,197.03

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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.