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Finding the Third Proportional to 2,146,658,172 and 4,637,984,736

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Solution

The third proportional to 2,146,658,172 and 4,637,984,736 is: 10,020,646,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,658,172 : 4,637,984,736 = 4,637,984,736 : x
  2. Step 2: Convert to fraction form
    2,146,658,172/4,637,984,736 = 4,637,984,736/x
  3. Step 3: Cross multiply
    2,146,658,172x = 4,637,984,736 × 4,637,984,736
  4. Step 4: Simplify right side
    2,146,658,172x = 21,510,902,411,368,988,672
  5. Step 5: Solve for x
    x = 21,510,902,411,368,988,672/2,146,658,172
  6. Step 6: Final answer
    x = 10,020,646,366.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.