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Finding the Third Proportional to 27,715,419,656 and 64,671,547,412

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Solution

The third proportional to 27,715,419,656 and 64,671,547,412 is: 150,905,492,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,419,656 : 64,671,547,412 = 64,671,547,412 : x
  2. Step 2: Convert to fraction form
    27,715,419,656/64,671,547,412 = 64,671,547,412/x
  3. Step 3: Cross multiply
    27,715,419,656x = 64,671,547,412 × 64,671,547,412
  4. Step 4: Simplify right side
    27,715,419,656x = 4,182,409,044,662,564,159,488
  5. Step 5: Solve for x
    x = 4,182,409,044,662,564,159,488/27,715,419,656
  6. Step 6: Final answer
    x = 150,905,492,197.99

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.