Finding the Third Proportional to 949,475,477,954 and 1,281,065,351,417.50
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Solution
The third proportional to 949,475,477,954 and 1,281,065,351,417.50 is: 1,728,457,946,211.38
Step by Step Solution
- Step 1: Write the proportion equation
949,475,477,954 : 1,281,065,351,417.50 = 1,281,065,351,417.50 : x - Step 2: Convert to fraction form
949,475,477,954/1,281,065,351,417.50 = 1,281,065,351,417.50/x - Step 3: Cross multiply
949,475,477,954x = 1,281,065,351,417.50 × 1,281,065,351,417.50 - Step 4: Simplify right side
949,475,477,954x = 1,641,128,434,602,442,812,817,408 - Step 5: Solve for x
x = 1,641,128,434,602,442,812,817,408/949,475,477,954 - Step 6: Final answer
x = 1,728,457,946,211.38
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.