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Finding the Third Proportional to 346,863,560 and 510,713,120

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Solution

The third proportional to 346,863,560 and 510,713,120 is: 751,961,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,863,560 : 510,713,120 = 510,713,120 : x
  2. Step 2: Convert to fraction form
    346,863,560/510,713,120 = 510,713,120/x
  3. Step 3: Cross multiply
    346,863,560x = 510,713,120 × 510,713,120
  4. Step 4: Simplify right side
    346,863,560x = 260,827,890,940,134,400
  5. Step 5: Solve for x
    x = 260,827,890,940,134,400/346,863,560
  6. Step 6: Final answer
    x = 751,961,061.98

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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.