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Finding the Third Proportional to 33,304,671,621 and 72,712,349,248

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Solution

The third proportional to 33,304,671,621 and 72,712,349,248 is: 158,749,072,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,304,671,621 : 72,712,349,248 = 72,712,349,248 : x
  2. Step 2: Convert to fraction form
    33,304,671,621/72,712,349,248 = 72,712,349,248/x
  3. Step 3: Cross multiply
    33,304,671,621x = 72,712,349,248 × 72,712,349,248
  4. Step 4: Simplify right side
    33,304,671,621x = 5,287,085,733,163,125,702,656
  5. Step 5: Solve for x
    x = 5,287,085,733,163,125,702,656/33,304,671,621
  6. Step 6: Final answer
    x = 158,749,072,602.46

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Why These Related Problems?

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