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Finding the Third Proportional to 29,343,315,705 and 63,559,123,444

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Solution

The third proportional to 29,343,315,705 and 63,559,123,444 is: 137,672,313,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343,315,705 : 63,559,123,444 = 63,559,123,444 : x
  2. Step 2: Convert to fraction form
    29,343,315,705/63,559,123,444 = 63,559,123,444/x
  3. Step 3: Cross multiply
    29,343,315,705x = 63,559,123,444 × 63,559,123,444
  4. Step 4: Simplify right side
    29,343,315,705x = 4,039,762,172,969,630,564,352
  5. Step 5: Solve for x
    x = 4,039,762,172,969,630,564,352/29,343,315,705
  6. Step 6: Final answer
    x = 137,672,313,980.57

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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.