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Finding the Third Proportional to 29,488,414 and 46,157,362

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Solution

The third proportional to 29,488,414 and 46,157,362 is: 72,248,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,414 : 46,157,362 = 46,157,362 : x
  2. Step 2: Convert to fraction form
    29,488,414/46,157,362 = 46,157,362/x
  3. Step 3: Cross multiply
    29,488,414x = 46,157,362 × 46,157,362
  4. Step 4: Simplify right side
    29,488,414x = 2,130,502,066,799,044
  5. Step 5: Solve for x
    x = 2,130,502,066,799,044/29,488,414
  6. Step 6: Final answer
    x = 72,248,784.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.