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Finding the Third Proportional to 35,465,890 and 76,402,900

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Solution

The third proportional to 35,465,890 and 76,402,900 is: 164,592,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465,890 : 76,402,900 = 76,402,900 : x
  2. Step 2: Convert to fraction form
    35,465,890/76,402,900 = 76,402,900/x
  3. Step 3: Cross multiply
    35,465,890x = 76,402,900 × 76,402,900
  4. Step 4: Simplify right side
    35,465,890x = 5,837,403,128,410,000
  5. Step 5: Solve for x
    x = 5,837,403,128,410,000/35,465,890
  6. Step 6: Final answer
    x = 164,592,038.39

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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.