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Finding the Third Proportional to 29,771,478.56 and 64,490,055.75

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Solution

The third proportional to 29,771,478.56 and 64,490,055.75 is: 139,696,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771,478.56 : 64,490,055.75 = 64,490,055.75 : x
  2. Step 2: Convert to fraction form
    29,771,478.56/64,490,055.75 = 64,490,055.75/x
  3. Step 3: Cross multiply
    29,771,478.56x = 64,490,055.75 × 64,490,055.75
  4. Step 4: Simplify right side
    29,771,478.56x = 4,158,967,290,638,108
  5. Step 5: Solve for x
    x = 4,158,967,290,638,108/29,771,478.56
  6. Step 6: Final answer
    x = 139,696,363.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.