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Finding the Third Proportional to 64,292,840 and 141,071,776

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Solution

The third proportional to 64,292,840 and 141,071,776 is: 309,540,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292,840 : 141,071,776 = 141,071,776 : x
  2. Step 2: Convert to fraction form
    64,292,840/141,071,776 = 141,071,776/x
  3. Step 3: Cross multiply
    64,292,840x = 141,071,776 × 141,071,776
  4. Step 4: Simplify right side
    64,292,840x = 19,901,245,983,794,176
  5. Step 5: Solve for x
    x = 19,901,245,983,794,176/64,292,840
  6. Step 6: Final answer
    x = 309,540,626.67

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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.