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Finding the Third Proportional to 29,774,598 and 64,495,632

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Solution

The third proportional to 29,774,598 and 64,495,632 is: 139,705,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774,598 : 64,495,632 = 64,495,632 : x
  2. Step 2: Convert to fraction form
    29,774,598/64,495,632 = 64,495,632/x
  3. Step 3: Cross multiply
    29,774,598x = 64,495,632 × 64,495,632
  4. Step 4: Simplify right side
    29,774,598x = 4,159,686,547,079,424
  5. Step 5: Solve for x
    x = 4,159,686,547,079,424/29,774,598
  6. Step 6: Final answer
    x = 139,705,884.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.