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Finding the Third Proportional to 5,300,056,476 and 11,148,402,600

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Solution

The third proportional to 5,300,056,476 and 11,148,402,600 is: 23,450,104,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,056,476 : 11,148,402,600 = 11,148,402,600 : x
  2. Step 2: Convert to fraction form
    5,300,056,476/11,148,402,600 = 11,148,402,600/x
  3. Step 3: Cross multiply
    5,300,056,476x = 11,148,402,600 × 11,148,402,600
  4. Step 4: Simplify right side
    5,300,056,476x = 124,286,880,531,686,752,256
  5. Step 5: Solve for x
    x = 124,286,880,531,686,752,256/5,300,056,476
  6. Step 6: Final answer
    x = 23,450,104,936.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.