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Finding the Third Proportional to 315,422,998 and 690,307,852.50

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Solution

The third proportional to 315,422,998 and 690,307,852.50 is: 1,510,748,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422,998 : 690,307,852.50 = 690,307,852.50 : x
  2. Step 2: Convert to fraction form
    315,422,998/690,307,852.50 = 690,307,852.50/x
  3. Step 3: Cross multiply
    315,422,998x = 690,307,852.50 × 690,307,852.50
  4. Step 4: Simplify right side
    315,422,998x = 476,524,931,223,161,728
  5. Step 5: Solve for x
    x = 476,524,931,223,161,728/315,422,998
  6. Step 6: Final answer
    x = 1,510,748,849.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.