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Finding the Third Proportional to 1,596,940,506 and 3,475,082,430

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Solution

The third proportional to 1,596,940,506 and 3,475,082,430 is: 7,562,083,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,506 : 3,475,082,430 = 3,475,082,430 : x
  2. Step 2: Convert to fraction form
    1,596,940,506/3,475,082,430 = 3,475,082,430/x
  3. Step 3: Cross multiply
    1,596,940,506x = 3,475,082,430 × 3,475,082,430
  4. Step 4: Simplify right side
    1,596,940,506x = 12,076,197,895,294,705,664
  5. Step 5: Solve for x
    x = 12,076,197,895,294,705,664/1,596,940,506
  6. Step 6: Final answer
    x = 7,562,083,778.28

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