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Finding the Third Proportional to 586,262,124 and 893,147,368.50

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Solution

The third proportional to 586,262,124 and 893,147,368.50 is: 1,360,675,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,262,124 : 893,147,368.50 = 893,147,368.50 : x
  2. Step 2: Convert to fraction form
    586,262,124/893,147,368.50 = 893,147,368.50/x
  3. Step 3: Cross multiply
    586,262,124x = 893,147,368.50 × 893,147,368.50
  4. Step 4: Simplify right side
    586,262,124x = 797,712,221,858,474,752
  5. Step 5: Solve for x
    x = 797,712,221,858,474,752/586,262,124
  6. Step 6: Final answer
    x = 1,360,675,010.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.