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Finding the Third Proportional to 39,971,939,068 and 88,881,033,205

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Solution

The third proportional to 39,971,939,068 and 88,881,033,205 is: 197,634,596,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971,939,068 : 88,881,033,205 = 88,881,033,205 : x
  2. Step 2: Convert to fraction form
    39,971,939,068/88,881,033,205 = 88,881,033,205/x
  3. Step 3: Cross multiply
    39,971,939,068x = 88,881,033,205 × 88,881,033,205
  4. Step 4: Simplify right side
    39,971,939,068x = 7,899,838,063,588,312,875,008
  5. Step 5: Solve for x
    x = 7,899,838,063,588,312,875,008/39,971,939,068
  6. Step 6: Final answer
    x = 197,634,596,864.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.