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Finding the Third Proportional to 1,592,564,160 and 2,277,369,504

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Solution

The third proportional to 1,592,564,160 and 2,277,369,504 is: 3,256,642,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,564,160 : 2,277,369,504 = 2,277,369,504 : x
  2. Step 2: Convert to fraction form
    1,592,564,160/2,277,369,504 = 2,277,369,504/x
  3. Step 3: Cross multiply
    1,592,564,160x = 2,277,369,504 × 2,277,369,504
  4. Step 4: Simplify right side
    1,592,564,160x = 5,186,411,857,749,206,016
  5. Step 5: Solve for x
    x = 5,186,411,857,749,206,016/1,592,564,160
  6. Step 6: Final answer
    x = 3,256,642,330.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.