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Finding the Third Proportional to 29,417,307.13 and 64,131,384.63

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Solution

The third proportional to 29,417,307.13 and 64,131,384.63 is: 139,810,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,417,307.13 : 64,131,384.63 = 64,131,384.63 : x
  2. Step 2: Convert to fraction form
    29,417,307.13/64,131,384.63 = 64,131,384.63/x
  3. Step 3: Cross multiply
    29,417,307.13x = 64,131,384.63 × 64,131,384.63
  4. Step 4: Simplify right side
    29,417,307.13x = 4,112,834,493,919,686.50
  5. Step 5: Solve for x
    x = 4,112,834,493,919,686.50/29,417,307.13
  6. Step 6: Final answer
    x = 139,810,026.68

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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.