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Finding the Third Proportional to 559,779,666.75 and 1,214,710,600.50

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Solution

The third proportional to 559,779,666.75 and 1,214,710,600.50 is: 2,635,897,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,779,666.75 : 1,214,710,600.50 = 1,214,710,600.50 : x
  2. Step 2: Convert to fraction form
    559,779,666.75/1,214,710,600.50 = 1,214,710,600.50/x
  3. Step 3: Cross multiply
    559,779,666.75x = 1,214,710,600.50 × 1,214,710,600.50
  4. Step 4: Simplify right side
    559,779,666.75x = 1,475,521,842,967,070,720
  5. Step 5: Solve for x
    x = 1,475,521,842,967,070,720/559,779,666.75
  6. Step 6: Final answer
    x = 2,635,897,533.64

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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.