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Finding the Third Proportional to 1,824,893,062 and 3,746,529,128

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Solution

The third proportional to 1,824,893,062 and 3,746,529,128 is: 7,691,672,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,893,062 : 3,746,529,128 = 3,746,529,128 : x
  2. Step 2: Convert to fraction form
    1,824,893,062/3,746,529,128 = 3,746,529,128/x
  3. Step 3: Cross multiply
    1,824,893,062x = 3,746,529,128 × 3,746,529,128
  4. Step 4: Simplify right side
    1,824,893,062x = 14,036,480,506,952,439,808
  5. Step 5: Solve for x
    x = 14,036,480,506,952,439,808/1,824,893,062
  6. Step 6: Final answer
    x = 7,691,672,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.