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Finding the Third Proportional to 1,249,670,269.50 and 2,687,411,604

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Solution

The third proportional to 1,249,670,269.50 and 2,687,411,604 is: 5,779,269,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,670,269.50 : 2,687,411,604 = 2,687,411,604 : x
  2. Step 2: Convert to fraction form
    1,249,670,269.50/2,687,411,604 = 2,687,411,604/x
  3. Step 3: Cross multiply
    1,249,670,269.50x = 2,687,411,604 × 2,687,411,604
  4. Step 4: Simplify right side
    1,249,670,269.50x = 7,222,181,129,313,852,416
  5. Step 5: Solve for x
    x = 7,222,181,129,313,852,416/1,249,670,269.50
  6. Step 6: Final answer
    x = 5,779,269,384.56

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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.