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Finding the Third Proportional to 65,059,946 and 136,829,332

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Solution

The third proportional to 65,059,946 and 136,829,332 is: 287,769,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059,946 : 136,829,332 = 136,829,332 : x
  2. Step 2: Convert to fraction form
    65,059,946/136,829,332 = 136,829,332/x
  3. Step 3: Cross multiply
    65,059,946x = 136,829,332 × 136,829,332
  4. Step 4: Simplify right side
    65,059,946x = 18,722,266,095,566,224
  5. Step 5: Solve for x
    x = 18,722,266,095,566,224/65,059,946
  6. Step 6: Final answer
    x = 287,769,468.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.