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Finding the Third Proportional to 287,243,901 and 454,913,550

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Solution

The third proportional to 287,243,901 and 454,913,550 is: 720,455,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243,901 : 454,913,550 = 454,913,550 : x
  2. Step 2: Convert to fraction form
    287,243,901/454,913,550 = 454,913,550/x
  3. Step 3: Cross multiply
    287,243,901x = 454,913,550 × 454,913,550
  4. Step 4: Simplify right side
    287,243,901x = 206,946,337,973,602,496
  5. Step 5: Solve for x
    x = 206,946,337,973,602,496/287,243,901
  6. Step 6: Final answer
    x = 720,455,115.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.