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Finding the Third Proportional to 23,009,510,142 and 49,513,776,300

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Solution

The third proportional to 23,009,510,142 and 49,513,776,300 is: 106,547,859,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009,510,142 : 49,513,776,300 = 49,513,776,300 : x
  2. Step 2: Convert to fraction form
    23,009,510,142/49,513,776,300 = 49,513,776,300/x
  3. Step 3: Cross multiply
    23,009,510,142x = 49,513,776,300 × 49,513,776,300
  4. Step 4: Simplify right side
    23,009,510,142x = 2,451,614,043,486,441,439,232
  5. Step 5: Solve for x
    x = 2,451,614,043,486,441,439,232/23,009,510,142
  6. Step 6: Final answer
    x = 106,547,859,052.92

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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.