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Finding the Third Proportional to 1,281,533,472 and 1,925,712,486

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Solution

The third proportional to 1,281,533,472 and 1,925,712,486 is: 2,893,696,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,533,472 : 1,925,712,486 = 1,925,712,486 : x
  2. Step 2: Convert to fraction form
    1,281,533,472/1,925,712,486 = 1,925,712,486/x
  3. Step 3: Cross multiply
    1,281,533,472x = 1,925,712,486 × 1,925,712,486
  4. Step 4: Simplify right side
    1,281,533,472x = 3,708,368,578,736,300,032
  5. Step 5: Solve for x
    x = 3,708,368,578,736,300,032/1,281,533,472
  6. Step 6: Final answer
    x = 2,893,696,231.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.