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Finding the Third Proportional to 724,700,648,752 and 1,576,637,100,499

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Solution

The third proportional to 724,700,648,752 and 1,576,637,100,499 is: 3,430,084,616,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,700,648,752 : 1,576,637,100,499 = 1,576,637,100,499 : x
  2. Step 2: Convert to fraction form
    724,700,648,752/1,576,637,100,499 = 1,576,637,100,499/x
  3. Step 3: Cross multiply
    724,700,648,752x = 1,576,637,100,499 × 1,576,637,100,499
  4. Step 4: Simplify right side
    724,700,648,752x = 2,485,784,546,669,893,687,181,312
  5. Step 5: Solve for x
    x = 2,485,784,546,669,893,687,181,312/724,700,648,752
  6. Step 6: Final answer
    x = 3,430,084,616,248.98

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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.