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Finding the Third Proportional to 32,323,178,009 and 75,521,528,656.25

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Solution

The third proportional to 32,323,178,009 and 75,521,528,656.25 is: 176,452,367,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,178,009 : 75,521,528,656.25 = 75,521,528,656.25 : x
  2. Step 2: Convert to fraction form
    32,323,178,009/75,521,528,656.25 = 75,521,528,656.25/x
  3. Step 3: Cross multiply
    32,323,178,009x = 75,521,528,656.25 × 75,521,528,656.25
  4. Step 4: Simplify right side
    32,323,178,009x = 5,703,501,290,576,790,159,360
  5. Step 5: Solve for x
    x = 5,703,501,290,576,790,159,360/32,323,178,009
  6. Step 6: Final answer
    x = 176,452,367,678.35

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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.