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Finding the Third Proportional to 346,863,562 and 510,713,123

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Solution

The third proportional to 346,863,562 and 510,713,123 is: 751,961,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,863,562 : 510,713,123 = 510,713,123 : x
  2. Step 2: Convert to fraction form
    346,863,562/510,713,123 = 510,713,123/x
  3. Step 3: Cross multiply
    346,863,562x = 510,713,123 × 510,713,123
  4. Step 4: Simplify right side
    346,863,562x = 260,827,894,004,413,120
  5. Step 5: Solve for x
    x = 260,827,894,004,413,120/346,863,562
  6. Step 6: Final answer
    x = 751,961,066.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.