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Finding the Third Proportional to 61,663,839,357 and 98,119,290,550.50

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Solution

The third proportional to 61,663,839,357 and 98,119,290,550.50 is: 156,127,079,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,663,839,357 : 98,119,290,550.50 = 98,119,290,550.50 : x
  2. Step 2: Convert to fraction form
    61,663,839,357/98,119,290,550.50 = 98,119,290,550.50/x
  3. Step 3: Cross multiply
    61,663,839,357x = 98,119,290,550.50 × 98,119,290,550.50
  4. Step 4: Simplify right side
    61,663,839,357x = 9,627,395,178,133,438,070,784
  5. Step 5: Solve for x
    x = 9,627,395,178,133,438,070,784/61,663,839,357
  6. Step 6: Final answer
    x = 156,127,079,963.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.