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Finding the Third Proportional to 288,127,008 and 630,898,560

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Solution

The third proportional to 288,127,008 and 630,898,560 is: 1,381,449,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,127,008 : 630,898,560 = 630,898,560 : x
  2. Step 2: Convert to fraction form
    288,127,008/630,898,560 = 630,898,560/x
  3. Step 3: Cross multiply
    288,127,008x = 630,898,560 × 630,898,560
  4. Step 4: Simplify right side
    288,127,008x = 398,032,993,010,073,600
  5. Step 5: Solve for x
    x = 398,032,993,010,073,600/288,127,008
  6. Step 6: Final answer
    x = 1,381,449,784.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.