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Finding the Third Proportional to 10,742,826,240 and 23,118,239,718

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Solution

The third proportional to 10,742,826,240 and 23,118,239,718 is: 49,749,758,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742,826,240 : 23,118,239,718 = 23,118,239,718 : x
  2. Step 2: Convert to fraction form
    10,742,826,240/23,118,239,718 = 23,118,239,718/x
  3. Step 3: Cross multiply
    10,742,826,240x = 23,118,239,718 × 23,118,239,718
  4. Step 4: Simplify right side
    10,742,826,240x = 534,453,007,658,912,710,656
  5. Step 5: Solve for x
    x = 534,453,007,658,912,710,656/10,742,826,240
  6. Step 6: Final answer
    x = 49,749,758,184.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.