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Finding the Third Proportional to 45,733,575,984 and 99,064,894,944

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Solution

The third proportional to 45,733,575,984 and 99,064,894,944 is: 214,587,492,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,733,575,984 : 99,064,894,944 = 99,064,894,944 : x
  2. Step 2: Convert to fraction form
    45,733,575,984/99,064,894,944 = 99,064,894,944/x
  3. Step 3: Cross multiply
    45,733,575,984x = 99,064,894,944 × 99,064,894,944
  4. Step 4: Simplify right side
    45,733,575,984x = 9,813,853,410,265,755,811,840
  5. Step 5: Solve for x
    x = 9,813,853,410,265,755,811,840/45,733,575,984
  6. Step 6: Final answer
    x = 214,587,492,867.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.