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Finding the Third Proportional to 423,857,430,505.50 and 651,499,259,618.24

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Solution

The third proportional to 423,857,430,505.50 and 651,499,259,618.24 is: 1,001,401,071,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,857,430,505.50 : 651,499,259,618.24 = 651,499,259,618.24 : x
  2. Step 2: Convert to fraction form
    423,857,430,505.50/651,499,259,618.24 = 651,499,259,618.24/x
  3. Step 3: Cross multiply
    423,857,430,505.50x = 651,499,259,618.24 × 651,499,259,618.24
  4. Step 4: Simplify right side
    423,857,430,505.50x = 424,451,285,283,114,863,034,368
  5. Step 5: Solve for x
    x = 424,451,285,283,114,863,034,368/423,857,430,505.50
  6. Step 6: Final answer
    x = 1,001,401,071,999.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.