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Finding the Third Proportional to 38,920,064,164 and 84,974,191,820

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Solution

The third proportional to 38,920,064,164 and 84,974,191,820 is: 185,524,187,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920,064,164 : 84,974,191,820 = 84,974,191,820 : x
  2. Step 2: Convert to fraction form
    38,920,064,164/84,974,191,820 = 84,974,191,820/x
  3. Step 3: Cross multiply
    38,920,064,164x = 84,974,191,820 × 84,974,191,820
  4. Step 4: Simplify right side
    38,920,064,164x = 7,220,613,275,462,154,584,064
  5. Step 5: Solve for x
    x = 7,220,613,275,462,154,584,064/38,920,064,164
  6. Step 6: Final answer
    x = 185,524,187,345.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.