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Finding the Third Proportional to 4,545,528,811,573 and 9,891,254,005,552

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Solution

The third proportional to 4,545,528,811,573 and 9,891,254,005,552 is: 21,523,767,609,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545,528,811,573 : 9,891,254,005,552 = 9,891,254,005,552 : x
  2. Step 2: Convert to fraction form
    4,545,528,811,573/9,891,254,005,552 = 9,891,254,005,552/x
  3. Step 3: Cross multiply
    4,545,528,811,573x = 9,891,254,005,552 × 9,891,254,005,552
  4. Step 4: Simplify right side
    4,545,528,811,573x = 97,836,905,802,348,476,569,223,168
  5. Step 5: Solve for x
    x = 97,836,905,802,348,476,569,223,168/4,545,528,811,573
  6. Step 6: Final answer
    x = 21,523,767,609,448.19

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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.