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Finding the Third Proportional to 23,009,510,220 and 49,513,776,444

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Solution

The third proportional to 23,009,510,220 and 49,513,776,444 is: 106,547,859,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009,510,220 : 49,513,776,444 = 49,513,776,444 : x
  2. Step 2: Convert to fraction form
    23,009,510,220/49,513,776,444 = 49,513,776,444/x
  3. Step 3: Cross multiply
    23,009,510,220x = 49,513,776,444 × 49,513,776,444
  4. Step 4: Simplify right side
    23,009,510,220x = 2,451,614,057,746,409,193,472
  5. Step 5: Solve for x
    x = 2,451,614,057,746,409,193,472/23,009,510,220
  6. Step 6: Final answer
    x = 106,547,859,311.47

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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.