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Finding the Third Proportional to 2,693,598,465 and 6,293,461,414

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Solution

The third proportional to 2,693,598,465 and 6,293,461,414 is: 14,704,365,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,598,465 : 6,293,461,414 = 6,293,461,414 : x
  2. Step 2: Convert to fraction form
    2,693,598,465/6,293,461,414 = 6,293,461,414/x
  3. Step 3: Cross multiply
    2,693,598,465x = 6,293,461,414 × 6,293,461,414
  4. Step 4: Simplify right side
    2,693,598,465x = 39,607,656,569,506,881,536
  5. Step 5: Solve for x
    x = 39,607,656,569,506,881,536/2,693,598,465
  6. Step 6: Final answer
    x = 14,704,365,585.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.