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Finding the Third Proportional to 9,631,779,203 and 14,735,543,751

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Solution

The third proportional to 9,631,779,203 and 14,735,543,751 is: 22,543,732,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631,779,203 : 14,735,543,751 = 14,735,543,751 : x
  2. Step 2: Convert to fraction form
    9,631,779,203/14,735,543,751 = 14,735,543,751/x
  3. Step 3: Cross multiply
    9,631,779,203x = 14,735,543,751 × 14,735,543,751
  4. Step 4: Simplify right side
    9,631,779,203x = 217,136,249,637,635,162,112
  5. Step 5: Solve for x
    x = 217,136,249,637,635,162,112/9,631,779,203
  6. Step 6: Final answer
    x = 22,543,732,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.