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Finding the Third Proportional to 34,692,445,598 and 46,808,254,290

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Solution

The third proportional to 34,692,445,598 and 46,808,254,290 is: 63,155,324,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692,445,598 : 46,808,254,290 = 46,808,254,290 : x
  2. Step 2: Convert to fraction form
    34,692,445,598/46,808,254,290 = 46,808,254,290/x
  3. Step 3: Cross multiply
    34,692,445,598x = 46,808,254,290 × 46,808,254,290
  4. Step 4: Simplify right side
    34,692,445,598x = 2,191,012,669,677,303,496,704
  5. Step 5: Solve for x
    x = 2,191,012,669,677,303,496,704/34,692,445,598
  6. Step 6: Final answer
    x = 63,155,324,795.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.