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Finding the Third Proportional to 3,312,604,656 and 7,090,544,592

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Solution

The third proportional to 3,312,604,656 and 7,090,544,592 is: 15,177,127,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312,604,656 : 7,090,544,592 = 7,090,544,592 : x
  2. Step 2: Convert to fraction form
    3,312,604,656/7,090,544,592 = 7,090,544,592/x
  3. Step 3: Cross multiply
    3,312,604,656x = 7,090,544,592 × 7,090,544,592
  4. Step 4: Simplify right side
    3,312,604,656x = 50,275,822,611,140,444,160
  5. Step 5: Solve for x
    x = 50,275,822,611,140,444,160/3,312,604,656
  6. Step 6: Final answer
    x = 15,177,127,315.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.