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Finding the Third Proportional to 14,838,686,015 and 32,001,829,354

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Solution

The third proportional to 14,838,686,015 and 32,001,829,354 is: 69,016,696,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838,686,015 : 32,001,829,354 = 32,001,829,354 : x
  2. Step 2: Convert to fraction form
    14,838,686,015/32,001,829,354 = 32,001,829,354/x
  3. Step 3: Cross multiply
    14,838,686,015x = 32,001,829,354 × 32,001,829,354
  4. Step 4: Simplify right side
    14,838,686,015x = 1,024,117,082,002,536,005,632
  5. Step 5: Solve for x
    x = 1,024,117,082,002,536,005,632/14,838,686,015
  6. Step 6: Final answer
    x = 69,016,696,017.91

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