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Finding the Third Proportional to 65,613,316 and 153,302,314

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Solution

The third proportional to 65,613,316 and 153,302,314 is: 358,183,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,613,316 : 153,302,314 = 153,302,314 : x
  2. Step 2: Convert to fraction form
    65,613,316/153,302,314 = 153,302,314/x
  3. Step 3: Cross multiply
    65,613,316x = 153,302,314 × 153,302,314
  4. Step 4: Simplify right side
    65,613,316x = 23,501,599,477,754,596
  5. Step 5: Solve for x
    x = 23,501,599,477,754,596/65,613,316
  6. Step 6: Final answer
    x = 358,183,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.