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Finding the Third Proportional to 417,477,051 and 824,416,316

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Solution

The third proportional to 417,477,051 and 824,416,316 is: 1,628,023,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,477,051 : 824,416,316 = 824,416,316 : x
  2. Step 2: Convert to fraction form
    417,477,051/824,416,316 = 824,416,316/x
  3. Step 3: Cross multiply
    417,477,051x = 824,416,316 × 824,416,316
  4. Step 4: Simplify right side
    417,477,051x = 679,662,262,087,011,840
  5. Step 5: Solve for x
    x = 679,662,262,087,011,840/417,477,051
  6. Step 6: Final answer
    x = 1,628,023,050.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.