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Finding the Third Proportional to 430,454,850,412.50 and 924,790,586,284.50

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Solution

The third proportional to 430,454,850,412.50 and 924,790,586,284.50 is: 1,986,823,072,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,454,850,412.50 : 924,790,586,284.50 = 924,790,586,284.50 : x
  2. Step 2: Convert to fraction form
    430,454,850,412.50/924,790,586,284.50 = 924,790,586,284.50/x
  3. Step 3: Cross multiply
    430,454,850,412.50x = 924,790,586,284.50 × 924,790,586,284.50
  4. Step 4: Simplify right side
    430,454,850,412.50x = 855,237,628,480,429,288,849,408
  5. Step 5: Solve for x
    x = 855,237,628,480,429,288,849,408/430,454,850,412.50
  6. Step 6: Final answer
    x = 1,986,823,072,526.34

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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.