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Finding the Third Proportional to 616,356,666 and 1,319,984,109

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Solution

The third proportional to 616,356,666 and 1,319,984,109 is: 2,826,866,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,356,666 : 1,319,984,109 = 1,319,984,109 : x
  2. Step 2: Convert to fraction form
    616,356,666/1,319,984,109 = 1,319,984,109/x
  3. Step 3: Cross multiply
    616,356,666x = 1,319,984,109 × 1,319,984,109
  4. Step 4: Simplify right side
    616,356,666x = 1,742,358,048,012,523,776
  5. Step 5: Solve for x
    x = 1,742,358,048,012,523,776/616,356,666
  6. Step 6: Final answer
    x = 2,826,866,559.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.