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Finding the Third Proportional to 2,685,706,566 and 5,779,559,943

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Solution

The third proportional to 2,685,706,566 and 5,779,559,943 is: 12,437,439,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,706,566 : 5,779,559,943 = 5,779,559,943 : x
  2. Step 2: Convert to fraction form
    2,685,706,566/5,779,559,943 = 5,779,559,943/x
  3. Step 3: Cross multiply
    2,685,706,566x = 5,779,559,943 × 5,779,559,943
  4. Step 4: Simplify right side
    2,685,706,566x = 33,403,313,134,730,162,176
  5. Step 5: Solve for x
    x = 33,403,313,134,730,162,176/2,685,706,566
  6. Step 6: Final answer
    x = 12,437,439,576.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.