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Finding the Third Proportional to 45,328,461 and 97,124,633

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Solution

The third proportional to 45,328,461 and 97,124,633 is: 208,107,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,328,461 : 97,124,633 = 97,124,633 : x
  2. Step 2: Convert to fraction form
    45,328,461/97,124,633 = 97,124,633/x
  3. Step 3: Cross multiply
    45,328,461x = 97,124,633 × 97,124,633
  4. Step 4: Simplify right side
    45,328,461x = 9,433,194,335,384,688
  5. Step 5: Solve for x
    x = 9,433,194,335,384,688/45,328,461
  6. Step 6: Final answer
    x = 208,107,536.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.