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Finding the Third Proportional to 359,943,732 and 537,556,918

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Solution

The third proportional to 359,943,732 and 537,556,918 is: 802,812,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,943,732 : 537,556,918 = 537,556,918 : x
  2. Step 2: Convert to fraction form
    359,943,732/537,556,918 = 537,556,918/x
  3. Step 3: Cross multiply
    359,943,732x = 537,556,918 × 537,556,918
  4. Step 4: Simplify right side
    359,943,732x = 288,967,440,089,658,752
  5. Step 5: Solve for x
    x = 288,967,440,089,658,752/359,943,732
  6. Step 6: Final answer
    x = 802,812,813.23

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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.