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Finding the Third Proportional to 50,778,828 and 77,358,066

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Solution

The third proportional to 50,778,828 and 77,358,066 is: 117,849,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778,828 : 77,358,066 = 77,358,066 : x
  2. Step 2: Convert to fraction form
    50,778,828/77,358,066 = 77,358,066/x
  3. Step 3: Cross multiply
    50,778,828x = 77,358,066 × 77,358,066
  4. Step 4: Simplify right side
    50,778,828x = 5,984,270,375,260,356
  5. Step 5: Solve for x
    x = 5,984,270,375,260,356/50,778,828
  6. Step 6: Final answer
    x = 117,849,714.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.