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Finding the Third Proportional to 64,292,844 and 141,071,784

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Solution

The third proportional to 64,292,844 and 141,071,784 is: 309,540,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292,844 : 141,071,784 = 141,071,784 : x
  2. Step 2: Convert to fraction form
    64,292,844/141,071,784 = 141,071,784/x
  3. Step 3: Cross multiply
    64,292,844x = 141,071,784 × 141,071,784
  4. Step 4: Simplify right side
    64,292,844x = 19,901,248,240,942,656
  5. Step 5: Solve for x
    x = 19,901,248,240,942,656/64,292,844
  6. Step 6: Final answer
    x = 309,540,642.52

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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.