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Finding the Third Proportional to 4,545,528,812,202 and 9,891,254,006,788

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Solution

The third proportional to 4,545,528,812,202 and 9,891,254,006,788 is: 21,523,767,611,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545,528,812,202 : 9,891,254,006,788 = 9,891,254,006,788 : x
  2. Step 2: Convert to fraction form
    4,545,528,812,202/9,891,254,006,788 = 9,891,254,006,788/x
  3. Step 3: Cross multiply
    4,545,528,812,202x = 9,891,254,006,788 × 9,891,254,006,788
  4. Step 4: Simplify right side
    4,545,528,812,202x = 97,836,905,826,799,656,665,874,432
  5. Step 5: Solve for x
    x = 97,836,905,826,799,656,665,874,432/4,545,528,812,202
  6. Step 6: Final answer
    x = 21,523,767,611,848.95

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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.