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Finding the Third Proportional to 285,161,407 and 611,249,234

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Solution

The third proportional to 285,161,407 and 611,249,234 is: 1,310,225,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,407 : 611,249,234 = 611,249,234 : x
  2. Step 2: Convert to fraction form
    285,161,407/611,249,234 = 611,249,234/x
  3. Step 3: Cross multiply
    285,161,407x = 611,249,234 × 611,249,234
  4. Step 4: Simplify right side
    285,161,407x = 373,625,626,065,586,752
  5. Step 5: Solve for x
    x = 373,625,626,065,586,752/285,161,407
  6. Step 6: Final answer
    x = 1,310,225,075.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.