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Finding the Third Proportional to 27,788,460,942 and 42,937,778,637

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Solution

The third proportional to 27,788,460,942 and 42,937,778,637 is: 66,345,985,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788,460,942 : 42,937,778,637 = 42,937,778,637 : x
  2. Step 2: Convert to fraction form
    27,788,460,942/42,937,778,637 = 42,937,778,637/x
  3. Step 3: Cross multiply
    27,788,460,942x = 42,937,778,637 × 42,937,778,637
  4. Step 4: Simplify right side
    27,788,460,942x = 1,843,652,834,280,013,561,856
  5. Step 5: Solve for x
    x = 1,843,652,834,280,013,561,856/27,788,460,942
  6. Step 6: Final answer
    x = 66,345,985,771.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.