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Finding the Third Proportional to 559,779,664.50 and 1,214,710,596

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Solution

The third proportional to 559,779,664.50 and 1,214,710,596 is: 2,635,897,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,779,664.50 : 1,214,710,596 = 1,214,710,596 : x
  2. Step 2: Convert to fraction form
    559,779,664.50/1,214,710,596 = 1,214,710,596/x
  3. Step 3: Cross multiply
    559,779,664.50x = 1,214,710,596 × 1,214,710,596
  4. Step 4: Simplify right side
    559,779,664.50x = 1,475,521,832,034,675,200
  5. Step 5: Solve for x
    x = 1,475,521,832,034,675,200/559,779,664.50
  6. Step 6: Final answer
    x = 2,635,897,524.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.