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Finding the Third Proportional to 32,540,069,795,886 and 70,256,557,565,412

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Solution

The third proportional to 32,540,069,795,886 and 70,256,557,565,412 is: 151,689,406,688,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540,069,795,886 : 70,256,557,565,412 = 70,256,557,565,412 : x
  2. Step 2: Convert to fraction form
    32,540,069,795,886/70,256,557,565,412 = 70,256,557,565,412/x
  3. Step 3: Cross multiply
    32,540,069,795,886x = 70,256,557,565,412 × 70,256,557,565,412
  4. Step 4: Simplify right side
    32,540,069,795,886x = 4,935,983,880,942,050,344,641,232,896
  5. Step 5: Solve for x
    x = 4,935,983,880,942,050,344,641,232,896/32,540,069,795,886
  6. Step 6: Final answer
    x = 151,689,406,688,552.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.