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Finding the Third Proportional to 713,221,373 and 1,553,060,617

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Solution

The third proportional to 713,221,373 and 1,553,060,617 is: 3,381,835,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,221,373 : 1,553,060,617 = 1,553,060,617 : x
  2. Step 2: Convert to fraction form
    713,221,373/1,553,060,617 = 1,553,060,617/x
  3. Step 3: Cross multiply
    713,221,373x = 1,553,060,617 × 1,553,060,617
  4. Step 4: Simplify right side
    713,221,373x = 2,411,997,280,076,420,608
  5. Step 5: Solve for x
    x = 2,411,997,280,076,420,608/713,221,373
  6. Step 6: Final answer
    x = 3,381,835,389.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.