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Finding the Third Proportional to 359,205,416 and 775,891,024

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Solution

The third proportional to 359,205,416 and 775,891,024 is: 1,675,940,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,205,416 : 775,891,024 = 775,891,024 : x
  2. Step 2: Convert to fraction form
    359,205,416/775,891,024 = 775,891,024/x
  3. Step 3: Cross multiply
    359,205,416x = 775,891,024 × 775,891,024
  4. Step 4: Simplify right side
    359,205,416x = 602,006,881,123,768,576
  5. Step 5: Solve for x
    x = 602,006,881,123,768,576/359,205,416
  6. Step 6: Final answer
    x = 1,675,940,434.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.