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Finding the Third Proportional to 286,160,139 and 619,859,733

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Solution

The third proportional to 286,160,139 and 619,859,733 is: 1,342,696,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,160,139 : 619,859,733 = 619,859,733 : x
  2. Step 2: Convert to fraction form
    286,160,139/619,859,733 = 619,859,733/x
  3. Step 3: Cross multiply
    286,160,139x = 619,859,733 × 619,859,733
  4. Step 4: Simplify right side
    286,160,139x = 384,226,088,594,831,296
  5. Step 5: Solve for x
    x = 384,226,088,594,831,296/286,160,139
  6. Step 6: Final answer
    x = 1,342,696,051.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.