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Finding the Third Proportional to 34,544,999,982 and 53,074,574,492

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Solution

The third proportional to 34,544,999,982 and 53,074,574,492 is: 81,543,217,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544,999,982 : 53,074,574,492 = 53,074,574,492 : x
  2. Step 2: Convert to fraction form
    34,544,999,982/53,074,574,492 = 53,074,574,492/x
  3. Step 3: Cross multiply
    34,544,999,982x = 53,074,574,492 × 53,074,574,492
  4. Step 4: Simplify right side
    34,544,999,982x = 2,816,910,457,506,857,222,144
  5. Step 5: Solve for x
    x = 2,816,910,457,506,857,222,144/34,544,999,982
  6. Step 6: Final answer
    x = 81,543,217,802.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.