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Finding the Third Proportional to 61,701,077,691 and 86,888,713,804.50

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Solution

The third proportional to 61,701,077,691 and 86,888,713,804.50 is: 122,358,455,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701,077,691 : 86,888,713,804.50 = 86,888,713,804.50 : x
  2. Step 2: Convert to fraction form
    61,701,077,691/86,888,713,804.50 = 86,888,713,804.50/x
  3. Step 3: Cross multiply
    61,701,077,691x = 86,888,713,804.50 × 86,888,713,804.50
  4. Step 4: Simplify right side
    61,701,077,691x = 7,549,648,586,600,308,801,536
  5. Step 5: Solve for x
    x = 7,549,648,586,600,308,801,536/61,701,077,691
  6. Step 6: Final answer
    x = 122,358,455,785.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.