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Finding the Third Proportional to 141,415,566 and 304,443,786

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Solution

The third proportional to 141,415,566 and 304,443,786 is: 655,415,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,415,566 : 304,443,786 = 304,443,786 : x
  2. Step 2: Convert to fraction form
    141,415,566/304,443,786 = 304,443,786/x
  3. Step 3: Cross multiply
    141,415,566x = 304,443,786 × 304,443,786
  4. Step 4: Simplify right side
    141,415,566x = 92,686,018,834,013,792
  5. Step 5: Solve for x
    x = 92,686,018,834,013,792/141,415,566
  6. Step 6: Final answer
    x = 655,415,959.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.