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Finding the Third Proportional to 5,706,618,948 and 8,036,176,998

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Solution

The third proportional to 5,706,618,948 and 8,036,176,998 is: 11,316,708,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,618,948 : 8,036,176,998 = 8,036,176,998 : x
  2. Step 2: Convert to fraction form
    5,706,618,948/8,036,176,998 = 8,036,176,998/x
  3. Step 3: Cross multiply
    5,706,618,948x = 8,036,176,998 × 8,036,176,998
  4. Step 4: Simplify right side
    5,706,618,948x = 64,580,140,743,184,293,888
  5. Step 5: Solve for x
    x = 64,580,140,743,184,293,888/5,706,618,948
  6. Step 6: Final answer
    x = 11,316,708,077.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.