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Finding the Third Proportional to 4,475,103,077 and 7,020,116,117

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Solution

The third proportional to 4,475,103,077 and 7,020,116,117 is: 11,012,490,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,103,077 : 7,020,116,117 = 7,020,116,117 : x
  2. Step 2: Convert to fraction form
    4,475,103,077/7,020,116,117 = 7,020,116,117/x
  3. Step 3: Cross multiply
    4,475,103,077x = 7,020,116,117 × 7,020,116,117
  4. Step 4: Simplify right side
    4,475,103,077x = 49,282,030,296,163,155,968
  5. Step 5: Solve for x
    x = 49,282,030,296,163,155,968/4,475,103,077
  6. Step 6: Final answer
    x = 11,012,490,538.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.