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Finding the Third Proportional to 38,371,855,476 and 85,566,643,944

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Solution

The third proportional to 38,371,855,476 and 85,566,643,944 is: 190,807,832,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,371,855,476 : 85,566,643,944 = 85,566,643,944 : x
  2. Step 2: Convert to fraction form
    38,371,855,476/85,566,643,944 = 85,566,643,944/x
  3. Step 3: Cross multiply
    38,371,855,476x = 85,566,643,944 × 85,566,643,944
  4. Step 4: Simplify right side
    38,371,855,476x = 7,321,650,555,839,271,927,808
  5. Step 5: Solve for x
    x = 7,321,650,555,839,271,927,808/38,371,855,476
  6. Step 6: Final answer
    x = 190,807,832,068.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.