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Finding the Third Proportional to 255,780,076 and 562,578,488

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Solution

The third proportional to 255,780,076 and 562,578,488 is: 1,237,369,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780,076 : 562,578,488 = 562,578,488 : x
  2. Step 2: Convert to fraction form
    255,780,076/562,578,488 = 562,578,488/x
  3. Step 3: Cross multiply
    255,780,076x = 562,578,488 × 562,578,488
  4. Step 4: Simplify right side
    255,780,076x = 316,494,555,160,366,144
  5. Step 5: Solve for x
    x = 316,494,555,160,366,144/255,780,076
  6. Step 6: Final answer
    x = 1,237,369,853.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.