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Finding the Third Proportional to 4,461,602,664.38 and 6,749,786,320.31

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Solution

The third proportional to 4,461,602,664.38 and 6,749,786,320.31 is: 10,211,490,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461,602,664.38 : 6,749,786,320.31 = 6,749,786,320.31 : x
  2. Step 2: Convert to fraction form
    4,461,602,664.38/6,749,786,320.31 = 6,749,786,320.31/x
  3. Step 3: Cross multiply
    4,461,602,664.38x = 6,749,786,320.31 × 6,749,786,320.31
  4. Step 4: Simplify right side
    4,461,602,664.38x = 45,559,615,369,877,757,952
  5. Step 5: Solve for x
    x = 45,559,615,369,877,757,952/4,461,602,664.38
  6. Step 6: Final answer
    x = 10,211,490,981.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.