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Finding the Third Proportional to 29,312,109,803 and 63,999,704,074

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Solution

The third proportional to 29,312,109,803 and 63,999,704,074 is: 139,736,175,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312,109,803 : 63,999,704,074 = 63,999,704,074 : x
  2. Step 2: Convert to fraction form
    29,312,109,803/63,999,704,074 = 63,999,704,074/x
  3. Step 3: Cross multiply
    29,312,109,803x = 63,999,704,074 × 63,999,704,074
  4. Step 4: Simplify right side
    29,312,109,803x = 4,095,962,121,559,572,217,856
  5. Step 5: Solve for x
    x = 4,095,962,121,559,572,217,856/29,312,109,803
  6. Step 6: Final answer
    x = 139,736,175,563.19

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Why These Related Problems?

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