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Finding the Third Proportional to 617,403,277,088 and 1,337,376,084,352

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Solution

The third proportional to 617,403,277,088 and 1,337,376,084,352 is: 2,896,931,158,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,403,277,088 : 1,337,376,084,352 = 1,337,376,084,352 : x
  2. Step 2: Convert to fraction form
    617,403,277,088/1,337,376,084,352 = 1,337,376,084,352/x
  3. Step 3: Cross multiply
    617,403,277,088x = 1,337,376,084,352 × 1,337,376,084,352
  4. Step 4: Simplify right side
    617,403,277,088x = 1,788,574,790,996,687,891,464,192
  5. Step 5: Solve for x
    x = 1,788,574,790,996,687,891,464,192/617,403,277,088
  6. Step 6: Final answer
    x = 2,896,931,158,889.46

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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.