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Finding the Third Proportional to 35,918,094 and 78,789,413

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Solution

The third proportional to 35,918,094 and 78,789,413 is: 172,831,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918,094 : 78,789,413 = 78,789,413 : x
  2. Step 2: Convert to fraction form
    35,918,094/78,789,413 = 78,789,413/x
  3. Step 3: Cross multiply
    35,918,094x = 78,789,413 × 78,789,413
  4. Step 4: Simplify right side
    35,918,094x = 6,207,771,600,884,569
  5. Step 5: Solve for x
    x = 6,207,771,600,884,569/35,918,094
  6. Step 6: Final answer
    x = 172,831,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.