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Finding the Third Proportional to 7,480,909,038 and 16,263,948,156

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Solution

The third proportional to 7,480,909,038 and 16,263,948,156 is: 35,358,805,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480,909,038 : 16,263,948,156 = 16,263,948,156 : x
  2. Step 2: Convert to fraction form
    7,480,909,038/16,263,948,156 = 16,263,948,156/x
  3. Step 3: Cross multiply
    7,480,909,038x = 16,263,948,156 × 16,263,948,156
  4. Step 4: Simplify right side
    7,480,909,038x = 264,516,009,621,055,799,296
  5. Step 5: Solve for x
    x = 264,516,009,621,055,799,296/7,480,909,038
  6. Step 6: Final answer
    x = 35,358,805,765.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.