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Finding the Third Proportional to 302,859,018,060 and 654,074,290,970

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Solution

The third proportional to 302,859,018,060 and 654,074,290,970 is: 1,412,581,936,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,060 : 654,074,290,970 = 654,074,290,970 : x
  2. Step 2: Convert to fraction form
    302,859,018,060/654,074,290,970 = 654,074,290,970/x
  3. Step 3: Cross multiply
    302,859,018,060x = 654,074,290,970 × 654,074,290,970
  4. Step 4: Simplify right side
    302,859,018,060x = 427,813,178,107,908,243,587,072
  5. Step 5: Solve for x
    x = 427,813,178,107,908,243,587,072/302,859,018,060
  6. Step 6: Final answer
    x = 1,412,581,936,137.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.