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Finding the Third Proportional to 1,249,669,570 and 2,687,410,206

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Solution

The third proportional to 1,249,669,570 and 2,687,410,206 is: 5,779,266,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,669,570 : 2,687,410,206 = 2,687,410,206 : x
  2. Step 2: Convert to fraction form
    1,249,669,570/2,687,410,206 = 2,687,410,206/x
  3. Step 3: Cross multiply
    1,249,669,570x = 2,687,410,206 × 2,687,410,206
  4. Step 4: Simplify right side
    1,249,669,570x = 7,222,173,615,312,962,560
  5. Step 5: Solve for x
    x = 7,222,173,615,312,962,560/1,249,669,570
  6. Step 6: Final answer
    x = 5,779,266,606.70

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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.