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Finding the Third Proportional to 54,841,143,330 and 75,778,001,649

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Solution

The third proportional to 54,841,143,330 and 75,778,001,649 is: 104,707,983,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841,143,330 : 75,778,001,649 = 75,778,001,649 : x
  2. Step 2: Convert to fraction form
    54,841,143,330/75,778,001,649 = 75,778,001,649/x
  3. Step 3: Cross multiply
    54,841,143,330x = 75,778,001,649 × 75,778,001,649
  4. Step 4: Simplify right side
    54,841,143,330x = 5,742,305,533,915,847,196,672
  5. Step 5: Solve for x
    x = 5,742,305,533,915,847,196,672/54,841,143,330
  6. Step 6: Final answer
    x = 104,707,983,554.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.