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Finding the Third Proportional to 45,798,409 and 98,771,069

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Solution

The third proportional to 45,798,409 and 98,771,069 is: 213,014,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,798,409 : 98,771,069 = 98,771,069 : x
  2. Step 2: Convert to fraction form
    45,798,409/98,771,069 = 98,771,069/x
  3. Step 3: Cross multiply
    45,798,409x = 98,771,069 × 98,771,069
  4. Step 4: Simplify right side
    45,798,409x = 9,755,724,071,402,760
  5. Step 5: Solve for x
    x = 9,755,724,071,402,760/45,798,409
  6. Step 6: Final answer
    x = 213,014,475.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.