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Finding the Third Proportional to 315,816,441 and 704,249,209.75

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Solution

The third proportional to 315,816,441 and 704,249,209.75 is: 1,570,427,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,816,441 : 704,249,209.75 = 704,249,209.75 : x
  2. Step 2: Convert to fraction form
    315,816,441/704,249,209.75 = 704,249,209.75/x
  3. Step 3: Cross multiply
    315,816,441x = 704,249,209.75 × 704,249,209.75
  4. Step 4: Simplify right side
    315,816,441x = 495,966,949,433,499,520
  5. Step 5: Solve for x
    x = 495,966,949,433,499,520/315,816,441
  6. Step 6: Final answer
    x = 1,570,427,897.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.